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Finding the Fourth Proportional to 517.68, 714.06 and 310.68

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Solution

The fourth proportional to 517.68, 714.06 and 310.68 is: 428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 714.06 = 310.68 : x
  2. Step 2: Convert to fraction form
    517.68/714.06 = 310.68/x
  3. Step 3: Cross multiply
    517.68x = 714.06 × 310.68
  4. Step 4: Simplify right side
    517.68x = 221,844.16
  5. Step 5: Solve for x
    x = 221,844.16/517.68
  6. Step 6: Final answer
    x = 428.54

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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.