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Finding the Fourth Proportional to 709.16, 978.49 and 429.44

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Solution

The fourth proportional to 709.16, 978.49 and 429.44 is: 592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.16 : 978.49 = 429.44 : x
  2. Step 2: Convert to fraction form
    709.16/978.49 = 429.44/x
  3. Step 3: Cross multiply
    709.16x = 978.49 × 429.44
  4. Step 4: Simplify right side
    709.16x = 420,202.75
  5. Step 5: Solve for x
    x = 420,202.75/709.16
  6. Step 6: Final answer
    x = 592.54

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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.