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Finding the Fourth Proportional to 517.89, 714.47 and 342.93

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Solution

The fourth proportional to 517.89, 714.47 and 342.93 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 714.47 = 342.93 : x
  2. Step 2: Convert to fraction form
    517.89/714.47 = 342.93/x
  3. Step 3: Cross multiply
    517.89x = 714.47 × 342.93
  4. Step 4: Simplify right side
    517.89x = 245,013.20
  5. Step 5: Solve for x
    x = 245,013.20/517.89
  6. Step 6: Final answer
    x = 473.10

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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.