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Finding the Fourth Proportional to 709.18, 978.15 and 460.33

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Solution

The fourth proportional to 709.18, 978.15 and 460.33 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.18 : 978.15 = 460.33 : x
  2. Step 2: Convert to fraction form
    709.18/978.15 = 460.33/x
  3. Step 3: Cross multiply
    709.18x = 978.15 × 460.33
  4. Step 4: Simplify right side
    709.18x = 450,271.79
  5. Step 5: Solve for x
    x = 450,271.79/709.18
  6. Step 6: Final answer
    x = 634.92

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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.