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Finding the Fourth Proportional to 517.29, 714.32 and 386.07

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Solution

The fourth proportional to 517.29, 714.32 and 386.07 is: 533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 714.32 = 386.07 : x
  2. Step 2: Convert to fraction form
    517.29/714.32 = 386.07/x
  3. Step 3: Cross multiply
    517.29x = 714.32 × 386.07
  4. Step 4: Simplify right side
    517.29x = 275,777.52
  5. Step 5: Solve for x
    x = 275,777.52/517.29
  6. Step 6: Final answer
    x = 533.12

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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.