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Finding the Fourth Proportional to 575.31, 793.97 and 354.29

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Solution

The fourth proportional to 575.31, 793.97 and 354.29 is: 488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.31 : 793.97 = 354.29 : x
  2. Step 2: Convert to fraction form
    575.31/793.97 = 354.29/x
  3. Step 3: Cross multiply
    575.31x = 793.97 × 354.29
  4. Step 4: Simplify right side
    575.31x = 281,291.22
  5. Step 5: Solve for x
    x = 281,291.22/575.31
  6. Step 6: Final answer
    x = 488.94

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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.