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Finding the Fourth Proportional to 517.84, 714.64 and 296.86

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Solution

The fourth proportional to 517.84, 714.64 and 296.86 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.84 : 714.64 = 296.86 : x
  2. Step 2: Convert to fraction form
    517.84/714.64 = 296.86/x
  3. Step 3: Cross multiply
    517.84x = 714.64 × 296.86
  4. Step 4: Simplify right side
    517.84x = 212,148.03
  5. Step 5: Solve for x
    x = 212,148.03/517.84
  6. Step 6: Final answer
    x = 409.68

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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.