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Finding the Fourth Proportional to 305.32, 457.89 and 88.90

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Solution

The fourth proportional to 305.32, 457.89 and 88.90 is: 133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.32 : 457.89 = 88.90 : x
  2. Step 2: Convert to fraction form
    305.32/457.89 = 88.90/x
  3. Step 3: Cross multiply
    305.32x = 457.89 × 88.90
  4. Step 4: Simplify right side
    305.32x = 40,706.42
  5. Step 5: Solve for x
    x = 40,706.42/305.32
  6. Step 6: Final answer
    x = 133.32

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