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Finding the Fourth Proportional to 951.44, 1,427.28 and 464.08

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Solution

The fourth proportional to 951.44, 1,427.28 and 464.08 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.44 : 1,427.28 = 464.08 : x
  2. Step 2: Convert to fraction form
    951.44/1,427.28 = 464.08/x
  3. Step 3: Cross multiply
    951.44x = 1,427.28 × 464.08
  4. Step 4: Simplify right side
    951.44x = 662,372.10
  5. Step 5: Solve for x
    x = 662,372.10/951.44
  6. Step 6: Final answer
    x = 696.18

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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.