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Finding the Fourth Proportional to 563.38, 845.27 and 289.60

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Solution

The fourth proportional to 563.38, 845.27 and 289.60 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.38 : 845.27 = 289.60 : x
  2. Step 2: Convert to fraction form
    563.38/845.27 = 289.60/x
  3. Step 3: Cross multiply
    563.38x = 845.27 × 289.60
  4. Step 4: Simplify right side
    563.38x = 244,788.80
  5. Step 5: Solve for x
    x = 244,788.80/563.38
  6. Step 6: Final answer
    x = 434.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.