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Finding the Fourth Proportional to 305.41, 458.13 and 89.00

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Solution

The fourth proportional to 305.41, 458.13 and 89.00 is: 133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.41 : 458.13 = 89.00 : x
  2. Step 2: Convert to fraction form
    305.41/458.13 = 89.00/x
  3. Step 3: Cross multiply
    305.41x = 458.13 × 89.00
  4. Step 4: Simplify right side
    305.41x = 40,774.49
  5. Step 5: Solve for x
    x = 40,774.49/305.41
  6. Step 6: Final answer
    x = 133.51

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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.