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Finding the Fourth Proportional to 517.64, 714.43 and 331.21

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Solution

The fourth proportional to 517.64, 714.43 and 331.21 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 714.43 = 331.21 : x
  2. Step 2: Convert to fraction form
    517.64/714.43 = 331.21/x
  3. Step 3: Cross multiply
    517.64x = 714.43 × 331.21
  4. Step 4: Simplify right side
    517.64x = 236,626.36
  5. Step 5: Solve for x
    x = 236,626.36/517.64
  6. Step 6: Final answer
    x = 457.13

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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.