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Finding the Fourth Proportional to 517.87, 714.50 and 296.74

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Solution

The fourth proportional to 517.87, 714.50 and 296.74 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.87 : 714.50 = 296.74 : x
  2. Step 2: Convert to fraction form
    517.87/714.50 = 296.74/x
  3. Step 3: Cross multiply
    517.87x = 714.50 × 296.74
  4. Step 4: Simplify right side
    517.87x = 212,017.16
  5. Step 5: Solve for x
    x = 212,017.16/517.87
  6. Step 6: Final answer
    x = 409.41

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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.