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Finding the Fourth Proportional to 575.17, 861.54 and 494.98

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Solution

The fourth proportional to 575.17, 861.54 and 494.98 is: 741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.17 : 861.54 = 494.98 : x
  2. Step 2: Convert to fraction form
    575.17/861.54 = 494.98/x
  3. Step 3: Cross multiply
    575.17x = 861.54 × 494.98
  4. Step 4: Simplify right side
    575.17x = 426,445.07
  5. Step 5: Solve for x
    x = 426,445.07/575.17
  6. Step 6: Final answer
    x = 741.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.