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Finding the Fourth Proportional to 709.02, 978.50 and 429.27

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Solution

The fourth proportional to 709.02, 978.50 and 429.27 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.02 : 978.50 = 429.27 : x
  2. Step 2: Convert to fraction form
    709.02/978.50 = 429.27/x
  3. Step 3: Cross multiply
    709.02x = 978.50 × 429.27
  4. Step 4: Simplify right side
    709.02x = 420,040.16
  5. Step 5: Solve for x
    x = 420,040.16/709.02
  6. Step 6: Final answer
    x = 592.42

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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.