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Finding the Fourth Proportional to 562.33, 775.54 and 474.24

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Solution

The fourth proportional to 562.33, 775.54 and 474.24 is: 654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.33 : 775.54 = 474.24 : x
  2. Step 2: Convert to fraction form
    562.33/775.54 = 474.24/x
  3. Step 3: Cross multiply
    562.33x = 775.54 × 474.24
  4. Step 4: Simplify right side
    562.33x = 367,792.09
  5. Step 5: Solve for x
    x = 367,792.09/562.33
  6. Step 6: Final answer
    x = 654.05

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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.