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Finding the Fourth Proportional to 507.47, 699.03 and 424.53

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Solution

The fourth proportional to 507.47, 699.03 and 424.53 is: 584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 699.03 = 424.53 : x
  2. Step 2: Convert to fraction form
    507.47/699.03 = 424.53/x
  3. Step 3: Cross multiply
    507.47x = 699.03 × 424.53
  4. Step 4: Simplify right side
    507.47x = 296,759.21
  5. Step 5: Solve for x
    x = 296,759.21/507.47
  6. Step 6: Final answer
    x = 584.79

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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.