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Finding the Fourth Proportional to 529.83, 731.55 and 343.42

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Solution

The fourth proportional to 529.83, 731.55 and 343.42 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.83 : 731.55 = 343.42 : x
  2. Step 2: Convert to fraction form
    529.83/731.55 = 343.42/x
  3. Step 3: Cross multiply
    529.83x = 731.55 × 343.42
  4. Step 4: Simplify right side
    529.83x = 251,228.90
  5. Step 5: Solve for x
    x = 251,228.90/529.83
  6. Step 6: Final answer
    x = 474.17

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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.