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Finding the Fourth Proportional to 531.44, 795.32 and 470.96

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Solution

The fourth proportional to 531.44, 795.32 and 470.96 is: 704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 795.32 = 470.96 : x
  2. Step 2: Convert to fraction form
    531.44/795.32 = 470.96/x
  3. Step 3: Cross multiply
    531.44x = 795.32 × 470.96
  4. Step 4: Simplify right side
    531.44x = 374,563.91
  5. Step 5: Solve for x
    x = 374,563.91/531.44
  6. Step 6: Final answer
    x = 704.81

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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.