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Finding the Fourth Proportional to 507.46, 699.02 and 424.54

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Solution

The fourth proportional to 507.46, 699.02 and 424.54 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.46 : 699.02 = 424.54 : x
  2. Step 2: Convert to fraction form
    507.46/699.02 = 424.54/x
  3. Step 3: Cross multiply
    507.46x = 699.02 × 424.54
  4. Step 4: Simplify right side
    507.46x = 296,761.95
  5. Step 5: Solve for x
    x = 296,761.95/507.46
  6. Step 6: Final answer
    x = 584.80

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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.