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Finding the Fourth Proportional to 502.84, 694.32 and 392.20

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Solution

The fourth proportional to 502.84, 694.32 and 392.20 is: 541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 694.32 = 392.20 : x
  2. Step 2: Convert to fraction form
    502.84/694.32 = 392.20/x
  3. Step 3: Cross multiply
    502.84x = 694.32 × 392.20
  4. Step 4: Simplify right side
    502.84x = 272,312.30
  5. Step 5: Solve for x
    x = 272,312.30/502.84
  6. Step 6: Final answer
    x = 541.55

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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.