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Finding the Fourth Proportional to 709.48, 979.12 and 414.78

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Solution

The fourth proportional to 709.48, 979.12 and 414.78 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 979.12 = 414.78 : x
  2. Step 2: Convert to fraction form
    709.48/979.12 = 414.78/x
  3. Step 3: Cross multiply
    709.48x = 979.12 × 414.78
  4. Step 4: Simplify right side
    709.48x = 406,119.39
  5. Step 5: Solve for x
    x = 406,119.39/709.48
  6. Step 6: Final answer
    x = 572.42

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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.