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Finding the Fourth Proportional to 951.65, 1,427.52 and 302.43

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Solution

The fourth proportional to 951.65, 1,427.52 and 302.43 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.65 : 1,427.52 = 302.43 : x
  2. Step 2: Convert to fraction form
    951.65/1,427.52 = 302.43/x
  3. Step 3: Cross multiply
    951.65x = 1,427.52 × 302.43
  4. Step 4: Simplify right side
    951.65x = 431,724.87
  5. Step 5: Solve for x
    x = 431,724.87/951.65
  6. Step 6: Final answer
    x = 453.66

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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.