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Finding the Fourth Proportional to 951.22, 1,426.98 and 302.10

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Solution

The fourth proportional to 951.22, 1,426.98 and 302.10 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.22 : 1,426.98 = 302.10 : x
  2. Step 2: Convert to fraction form
    951.22/1,426.98 = 302.10/x
  3. Step 3: Cross multiply
    951.22x = 1,426.98 × 302.10
  4. Step 4: Simplify right side
    951.22x = 431,090.66
  5. Step 5: Solve for x
    x = 431,090.66/951.22
  6. Step 6: Final answer
    x = 453.20

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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.