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Finding the Fourth Proportional to 305.47, 458.24 and 89.06

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Solution

The fourth proportional to 305.47, 458.24 and 89.06 is: 133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.47 : 458.24 = 89.06 : x
  2. Step 2: Convert to fraction form
    305.47/458.24 = 89.06/x
  3. Step 3: Cross multiply
    305.47x = 458.24 × 89.06
  4. Step 4: Simplify right side
    305.47x = 40,810.85
  5. Step 5: Solve for x
    x = 40,810.85/305.47
  6. Step 6: Final answer
    x = 133.60

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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.