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Finding the Fourth Proportional to 709.84, 979.70 and 411.04

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Solution

The fourth proportional to 709.84, 979.70 and 411.04 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 979.70 = 411.04 : x
  2. Step 2: Convert to fraction form
    709.84/979.70 = 411.04/x
  3. Step 3: Cross multiply
    709.84x = 979.70 × 411.04
  4. Step 4: Simplify right side
    709.84x = 402,690.92
  5. Step 5: Solve for x
    x = 402,690.92/709.84
  6. Step 6: Final answer
    x = 567.30

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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.