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Finding the Fourth Proportional to 502.62, 693.50 and 292.69

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Solution

The fourth proportional to 502.62, 693.50 and 292.69 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.62 : 693.50 = 292.69 : x
  2. Step 2: Convert to fraction form
    502.62/693.50 = 292.69/x
  3. Step 3: Cross multiply
    502.62x = 693.50 × 292.69
  4. Step 4: Simplify right side
    502.62x = 202,980.52
  5. Step 5: Solve for x
    x = 202,980.52/502.62
  6. Step 6: Final answer
    x = 403.84

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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.