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Finding the Fourth Proportional to 564.29, 777.89 and 424.42

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Solution

The fourth proportional to 564.29, 777.89 and 424.42 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.29 : 777.89 = 424.42 : x
  2. Step 2: Convert to fraction form
    564.29/777.89 = 424.42/x
  3. Step 3: Cross multiply
    564.29x = 777.89 × 424.42
  4. Step 4: Simplify right side
    564.29x = 330,151.19
  5. Step 5: Solve for x
    x = 330,151.19/564.29
  6. Step 6: Final answer
    x = 585.07

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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.