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Finding the Fourth Proportional to 517.88, 714.71 and 296.78

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Solution

The fourth proportional to 517.88, 714.71 and 296.78 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 714.71 = 296.78 : x
  2. Step 2: Convert to fraction form
    517.88/714.71 = 296.78/x
  3. Step 3: Cross multiply
    517.88x = 714.71 × 296.78
  4. Step 4: Simplify right side
    517.88x = 212,106.58
  5. Step 5: Solve for x
    x = 212,106.58/517.88
  6. Step 6: Final answer
    x = 409.57

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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.