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Finding the Fourth Proportional to 502.56, 693.45 and 337.05

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Solution

The fourth proportional to 502.56, 693.45 and 337.05 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 693.45 = 337.05 : x
  2. Step 2: Convert to fraction form
    502.56/693.45 = 337.05/x
  3. Step 3: Cross multiply
    502.56x = 693.45 × 337.05
  4. Step 4: Simplify right side
    502.56x = 233,727.32
  5. Step 5: Solve for x
    x = 233,727.32/502.56
  6. Step 6: Final answer
    x = 465.07

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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.