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Finding the Fourth Proportional to 502.76, 691.34 and 487.40

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Solution

The fourth proportional to 502.76, 691.34 and 487.40 is: 670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.76 : 691.34 = 487.40 : x
  2. Step 2: Convert to fraction form
    502.76/691.34 = 487.40/x
  3. Step 3: Cross multiply
    502.76x = 691.34 × 487.40
  4. Step 4: Simplify right side
    502.76x = 336,959.12
  5. Step 5: Solve for x
    x = 336,959.12/502.76
  6. Step 6: Final answer
    x = 670.22

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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.