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Finding the Fourth Proportional to 514.33, 710.32 and 404.61

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Solution

The fourth proportional to 514.33, 710.32 and 404.61 is: 558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 710.32 = 404.61 : x
  2. Step 2: Convert to fraction form
    514.33/710.32 = 404.61/x
  3. Step 3: Cross multiply
    514.33x = 710.32 × 404.61
  4. Step 4: Simplify right side
    514.33x = 287,402.58
  5. Step 5: Solve for x
    x = 287,402.58/514.33
  6. Step 6: Final answer
    x = 558.79

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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.