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Finding the Fourth Proportional to 507.52, 704.77 and 502.72

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Solution

The fourth proportional to 507.52, 704.77 and 502.72 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 704.77 = 502.72 : x
  2. Step 2: Convert to fraction form
    507.52/704.77 = 502.72/x
  3. Step 3: Cross multiply
    507.52x = 704.77 × 502.72
  4. Step 4: Simplify right side
    507.52x = 354,301.97
  5. Step 5: Solve for x
    x = 354,301.97/507.52
  6. Step 6: Final answer
    x = 698.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.