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Finding the Fourth Proportional to 562.27, 775.70 and 329.26

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Solution

The fourth proportional to 562.27, 775.70 and 329.26 is: 454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.27 : 775.70 = 329.26 : x
  2. Step 2: Convert to fraction form
    562.27/775.70 = 329.26/x
  3. Step 3: Cross multiply
    562.27x = 775.70 × 329.26
  4. Step 4: Simplify right side
    562.27x = 255,403.10
  5. Step 5: Solve for x
    x = 255,403.10/562.27
  6. Step 6: Final answer
    x = 454.24

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