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Finding the Fourth Proportional to 517.68, 714.72 and 343.35

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Solution

The fourth proportional to 517.68, 714.72 and 343.35 is: 474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 714.72 = 343.35 : x
  2. Step 2: Convert to fraction form
    517.68/714.72 = 343.35/x
  3. Step 3: Cross multiply
    517.68x = 714.72 × 343.35
  4. Step 4: Simplify right side
    517.68x = 245,399.11
  5. Step 5: Solve for x
    x = 245,399.11/517.68
  6. Step 6: Final answer
    x = 474.04

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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.