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Finding the Fourth Proportional to 951.72, 1,427.64 and 302.51

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Solution

The fourth proportional to 951.72, 1,427.64 and 302.51 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.72 : 1,427.64 = 302.51 : x
  2. Step 2: Convert to fraction form
    951.72/1,427.64 = 302.51/x
  3. Step 3: Cross multiply
    951.72x = 1,427.64 × 302.51
  4. Step 4: Simplify right side
    951.72x = 431,874.22
  5. Step 5: Solve for x
    x = 431,874.22/951.72
  6. Step 6: Final answer
    x = 453.78

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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.