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Finding the Fourth Proportional to 709.14, 978.70 and 398.70

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Solution

The fourth proportional to 709.14, 978.70 and 398.70 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 978.70 = 398.70 : x
  2. Step 2: Convert to fraction form
    709.14/978.70 = 398.70/x
  3. Step 3: Cross multiply
    709.14x = 978.70 × 398.70
  4. Step 4: Simplify right side
    709.14x = 390,202.80
  5. Step 5: Solve for x
    x = 390,202.80/709.14
  6. Step 6: Final answer
    x = 550.25

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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.