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Finding the Fourth Proportional to 709.52, 1,063.56 and 344

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Solution

The fourth proportional to 709.52, 1,063.56 and 344 is: 515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.52 : 1,063.56 = 344 : x
  2. Step 2: Convert to fraction form
    709.52/1,063.56 = 344/x
  3. Step 3: Cross multiply
    709.52x = 1,063.56 × 344
  4. Step 4: Simplify right side
    709.52x = 365,864.64
  5. Step 5: Solve for x
    x = 365,864.64/709.52
  6. Step 6: Final answer
    x = 515.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.