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Finding the Fourth Proportional to 523.52, 721.84 and 346.62

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Solution

The fourth proportional to 523.52, 721.84 and 346.62 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 721.84 = 346.62 : x
  2. Step 2: Convert to fraction form
    523.52/721.84 = 346.62/x
  3. Step 3: Cross multiply
    523.52x = 721.84 × 346.62
  4. Step 4: Simplify right side
    523.52x = 250,204.18
  5. Step 5: Solve for x
    x = 250,204.18/523.52
  6. Step 6: Final answer
    x = 477.93

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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.