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Finding the Fourth Proportional to 295.53, 443.30 and 87.32

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Solution

The fourth proportional to 295.53, 443.30 and 87.32 is: 130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 443.30 = 87.32 : x
  2. Step 2: Convert to fraction form
    295.53/443.30 = 87.32/x
  3. Step 3: Cross multiply
    295.53x = 443.30 × 87.32
  4. Step 4: Simplify right side
    295.53x = 38,706.30
  5. Step 5: Solve for x
    x = 38,706.30/295.53
  6. Step 6: Final answer
    x = 130.97

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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.