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Finding the Fourth Proportional to 711.76, 982.29 and 432.04

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Solution

The fourth proportional to 711.76, 982.29 and 432.04 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 982.29 = 432.04 : x
  2. Step 2: Convert to fraction form
    711.76/982.29 = 432.04/x
  3. Step 3: Cross multiply
    711.76x = 982.29 × 432.04
  4. Step 4: Simplify right side
    711.76x = 424,388.57
  5. Step 5: Solve for x
    x = 424,388.57/711.76
  6. Step 6: Final answer
    x = 596.25

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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.