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Finding the Fourth Proportional to 709.68, 979.20 and 414.84

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Solution

The fourth proportional to 709.68, 979.20 and 414.84 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 979.20 = 414.84 : x
  2. Step 2: Convert to fraction form
    709.68/979.20 = 414.84/x
  3. Step 3: Cross multiply
    709.68x = 979.20 × 414.84
  4. Step 4: Simplify right side
    709.68x = 406,211.33
  5. Step 5: Solve for x
    x = 406,211.33/709.68
  6. Step 6: Final answer
    x = 572.39

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1.5x scale

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.