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Finding the Fourth Proportional to 709.23, 978.81 and 429.48

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Solution

The fourth proportional to 709.23, 978.81 and 429.48 is: 592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 978.81 = 429.48 : x
  2. Step 2: Convert to fraction form
    709.23/978.81 = 429.48/x
  3. Step 3: Cross multiply
    709.23x = 978.81 × 429.48
  4. Step 4: Simplify right side
    709.23x = 420,379.32
  5. Step 5: Solve for x
    x = 420,379.32/709.23
  6. Step 6: Final answer
    x = 592.73

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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.