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Finding the Fourth Proportional to 575.31, 793.95 and 354.24

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Solution

The fourth proportional to 575.31, 793.95 and 354.24 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.31 : 793.95 = 354.24 : x
  2. Step 2: Convert to fraction form
    575.31/793.95 = 354.24/x
  3. Step 3: Cross multiply
    575.31x = 793.95 × 354.24
  4. Step 4: Simplify right side
    575.31x = 281,248.85
  5. Step 5: Solve for x
    x = 281,248.85/575.31
  6. Step 6: Final answer
    x = 488.86

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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.