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Finding the Fourth Proportional to 517.62, 714.39 and 296.70

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Solution

The fourth proportional to 517.62, 714.39 and 296.70 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 714.39 = 296.70 : x
  2. Step 2: Convert to fraction form
    517.62/714.39 = 296.70/x
  3. Step 3: Cross multiply
    517.62x = 714.39 × 296.70
  4. Step 4: Simplify right side
    517.62x = 211,959.51
  5. Step 5: Solve for x
    x = 211,959.51/517.62
  6. Step 6: Final answer
    x = 409.49

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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.