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Finding the Fourth Proportional to 709.71, 979.53 and 411.12

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Solution

The fourth proportional to 709.71, 979.53 and 411.12 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.71 : 979.53 = 411.12 : x
  2. Step 2: Convert to fraction form
    709.71/979.53 = 411.12/x
  3. Step 3: Cross multiply
    709.71x = 979.53 × 411.12
  4. Step 4: Simplify right side
    709.71x = 402,704.37
  5. Step 5: Solve for x
    x = 402,704.37/709.71
  6. Step 6: Final answer
    x = 567.42

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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.