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Finding the Fourth Proportional to 294.53, 441.80 and 86.32

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Solution

The fourth proportional to 294.53, 441.80 and 86.32 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.53 : 441.80 = 86.32 : x
  2. Step 2: Convert to fraction form
    294.53/441.80 = 86.32/x
  3. Step 3: Cross multiply
    294.53x = 441.80 × 86.32
  4. Step 4: Simplify right side
    294.53x = 38,136.18
  5. Step 5: Solve for x
    x = 38,136.18/294.53
  6. Step 6: Final answer
    x = 129.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.