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Finding the Fourth Proportional to 362.61, 502.47 and 358.16

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Solution

The fourth proportional to 362.61, 502.47 and 358.16 is: 496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.61 : 502.47 = 358.16 : x
  2. Step 2: Convert to fraction form
    362.61/502.47 = 358.16/x
  3. Step 3: Cross multiply
    362.61x = 502.47 × 358.16
  4. Step 4: Simplify right side
    362.61x = 179,962.14
  5. Step 5: Solve for x
    x = 179,962.14/362.61
  6. Step 6: Final answer
    x = 496.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.