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Finding the Fourth Proportional to 709.33, 978.85 and 394.59

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Solution

The fourth proportional to 709.33, 978.85 and 394.59 is: 544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.33 : 978.85 = 394.59 : x
  2. Step 2: Convert to fraction form
    709.33/978.85 = 394.59/x
  3. Step 3: Cross multiply
    709.33x = 978.85 × 394.59
  4. Step 4: Simplify right side
    709.33x = 386,244.42
  5. Step 5: Solve for x
    x = 386,244.42/709.33
  6. Step 6: Final answer
    x = 544.52

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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.