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Finding the Fourth Proportional to 575.74, 861.99 and 535.24

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Solution

The fourth proportional to 575.74, 861.99 and 535.24 is: 801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 861.99 = 535.24 : x
  2. Step 2: Convert to fraction form
    575.74/861.99 = 535.24/x
  3. Step 3: Cross multiply
    575.74x = 861.99 × 535.24
  4. Step 4: Simplify right side
    575.74x = 461,371.53
  5. Step 5: Solve for x
    x = 461,371.53/575.74
  6. Step 6: Final answer
    x = 801.35

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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.