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Finding the Fourth Proportional to 517.47, 714.12 and 296.41

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Solution

The fourth proportional to 517.47, 714.12 and 296.41 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.47 : 714.12 = 296.41 : x
  2. Step 2: Convert to fraction form
    517.47/714.12 = 296.41/x
  3. Step 3: Cross multiply
    517.47x = 714.12 × 296.41
  4. Step 4: Simplify right side
    517.47x = 211,672.31
  5. Step 5: Solve for x
    x = 211,672.31/517.47
  6. Step 6: Final answer
    x = 409.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.