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Finding the Fourth Proportional to 709.74, 1,065.24 and 344.79

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Solution

The fourth proportional to 709.74, 1,065.24 and 344.79 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,065.24 = 344.79 : x
  2. Step 2: Convert to fraction form
    709.74/1,065.24 = 344.79/x
  3. Step 3: Cross multiply
    709.74x = 1,065.24 × 344.79
  4. Step 4: Simplify right side
    709.74x = 367,284.10
  5. Step 5: Solve for x
    x = 367,284.10/709.74
  6. Step 6: Final answer
    x = 517.49

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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.