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Finding the Fourth Proportional to 517.97, 714.48 and 407.81

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Solution

The fourth proportional to 517.97, 714.48 and 407.81 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 714.48 = 407.81 : x
  2. Step 2: Convert to fraction form
    517.97/714.48 = 407.81/x
  3. Step 3: Cross multiply
    517.97x = 714.48 × 407.81
  4. Step 4: Simplify right side
    517.97x = 291,372.09
  5. Step 5: Solve for x
    x = 291,372.09/517.97
  6. Step 6: Final answer
    x = 562.53

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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.