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Finding the Fourth Proportional to 951.04, 1,426.47 and 301.78

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Solution

The fourth proportional to 951.04, 1,426.47 and 301.78 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.04 : 1,426.47 = 301.78 : x
  2. Step 2: Convert to fraction form
    951.04/1,426.47 = 301.78/x
  3. Step 3: Cross multiply
    951.04x = 1,426.47 × 301.78
  4. Step 4: Simplify right side
    951.04x = 430,480.12
  5. Step 5: Solve for x
    x = 430,480.12/951.04
  6. Step 6: Final answer
    x = 452.64

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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.