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Finding the Fourth Proportional to 507.24, 695.48 and 502.38

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Solution

The fourth proportional to 507.24, 695.48 and 502.38 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 695.48 = 502.38 : x
  2. Step 2: Convert to fraction form
    507.24/695.48 = 502.38/x
  3. Step 3: Cross multiply
    507.24x = 695.48 × 502.38
  4. Step 4: Simplify right side
    507.24x = 349,392.73
  5. Step 5: Solve for x
    x = 349,392.73/507.24
  6. Step 6: Final answer
    x = 688.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.