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Finding the Fourth Proportional to 502.60, 693.30 and 362.56

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Solution

The fourth proportional to 502.60, 693.30 and 362.56 is: 500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 693.30 = 362.56 : x
  2. Step 2: Convert to fraction form
    502.60/693.30 = 362.56/x
  3. Step 3: Cross multiply
    502.60x = 693.30 × 362.56
  4. Step 4: Simplify right side
    502.60x = 251,362.85
  5. Step 5: Solve for x
    x = 251,362.85/502.60
  6. Step 6: Final answer
    x = 500.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.