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Finding the Fourth Proportional to 294.59, 441.77 and 89.15

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Solution

The fourth proportional to 294.59, 441.77 and 89.15 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 441.77 = 89.15 : x
  2. Step 2: Convert to fraction form
    294.59/441.77 = 89.15/x
  3. Step 3: Cross multiply
    294.59x = 441.77 × 89.15
  4. Step 4: Simplify right side
    294.59x = 39,381.14
  5. Step 5: Solve for x
    x = 39,381.14/294.59
  6. Step 6: Final answer
    x = 133.68

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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.