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Finding the Fourth Proportional to 709.40, 978.83 and 429.59

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Solution

The fourth proportional to 709.40, 978.83 and 429.59 is: 592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 978.83 = 429.59 : x
  2. Step 2: Convert to fraction form
    709.40/978.83 = 429.59/x
  3. Step 3: Cross multiply
    709.40x = 978.83 × 429.59
  4. Step 4: Simplify right side
    709.40x = 420,488.54
  5. Step 5: Solve for x
    x = 420,488.54/709.40
  6. Step 6: Final answer
    x = 592.74

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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.