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Finding the Fourth Proportional to 424.64, 584.54 and 369.14

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Solution

The fourth proportional to 424.64, 584.54 and 369.14 is: 508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.64 : 584.54 = 369.14 : x
  2. Step 2: Convert to fraction form
    424.64/584.54 = 369.14/x
  3. Step 3: Cross multiply
    424.64x = 584.54 × 369.14
  4. Step 4: Simplify right side
    424.64x = 215,777.10
  5. Step 5: Solve for x
    x = 215,777.10/424.64
  6. Step 6: Final answer
    x = 508.14

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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.