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Finding the Fourth Proportional to 563.09, 844.61 and 178.34

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Solution

The fourth proportional to 563.09, 844.61 and 178.34 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.09 : 844.61 = 178.34 : x
  2. Step 2: Convert to fraction form
    563.09/844.61 = 178.34/x
  3. Step 3: Cross multiply
    563.09x = 844.61 × 178.34
  4. Step 4: Simplify right side
    563.09x = 150,622.63
  5. Step 5: Solve for x
    x = 150,622.63/563.09
  6. Step 6: Final answer
    x = 267.50

Related Problems

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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.