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Finding the Fourth Proportional to 509.17, 701.56 and 343.09

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Solution

The fourth proportional to 509.17, 701.56 and 343.09 is: 472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.17 : 701.56 = 343.09 : x
  2. Step 2: Convert to fraction form
    509.17/701.56 = 343.09/x
  3. Step 3: Cross multiply
    509.17x = 701.56 × 343.09
  4. Step 4: Simplify right side
    509.17x = 240,695.61
  5. Step 5: Solve for x
    x = 240,695.61/509.17
  6. Step 6: Final answer
    x = 472.72

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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.