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Finding the Fourth Proportional to 709.72, 1,063.66 and 344

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Solution

The fourth proportional to 709.72, 1,063.66 and 344 is: 515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,063.66 = 344 : x
  2. Step 2: Convert to fraction form
    709.72/1,063.66 = 344/x
  3. Step 3: Cross multiply
    709.72x = 1,063.66 × 344
  4. Step 4: Simplify right side
    709.72x = 365,899.04
  5. Step 5: Solve for x
    x = 365,899.04/709.72
  6. Step 6: Final answer
    x = 515.55

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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.