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Finding the Fourth Proportional to 562.71, 777.14 and 427.89

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Solution

The fourth proportional to 562.71, 777.14 and 427.89 is: 590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.71 : 777.14 = 427.89 : x
  2. Step 2: Convert to fraction form
    562.71/777.14 = 427.89/x
  3. Step 3: Cross multiply
    562.71x = 777.14 × 427.89
  4. Step 4: Simplify right side
    562.71x = 332,528.30
  5. Step 5: Solve for x
    x = 332,528.30/562.71
  6. Step 6: Final answer
    x = 590.94

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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.