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Finding the Fourth Proportional to 563.68, 845.52 and 274.72

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Solution

The fourth proportional to 563.68, 845.52 and 274.72 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 845.52 = 274.72 : x
  2. Step 2: Convert to fraction form
    563.68/845.52 = 274.72/x
  3. Step 3: Cross multiply
    563.68x = 845.52 × 274.72
  4. Step 4: Simplify right side
    563.68x = 232,281.25
  5. Step 5: Solve for x
    x = 232,281.25/563.68
  6. Step 6: Final answer
    x = 412.08

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Similar ratio
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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.