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Finding the Fourth Proportional to 562.68, 775.80 and 452.16

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Solution

The fourth proportional to 562.68, 775.80 and 452.16 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 775.80 = 452.16 : x
  2. Step 2: Convert to fraction form
    562.68/775.80 = 452.16/x
  3. Step 3: Cross multiply
    562.68x = 775.80 × 452.16
  4. Step 4: Simplify right side
    562.68x = 350,785.73
  5. Step 5: Solve for x
    x = 350,785.73/562.68
  6. Step 6: Final answer
    x = 623.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.