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Finding the Fourth Proportional to 425.52, 638.30 and 309.42

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Solution

The fourth proportional to 425.52, 638.30 and 309.42 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 638.30 = 309.42 : x
  2. Step 2: Convert to fraction form
    425.52/638.30 = 309.42/x
  3. Step 3: Cross multiply
    425.52x = 638.30 × 309.42
  4. Step 4: Simplify right side
    425.52x = 197,502.79
  5. Step 5: Solve for x
    x = 197,502.79/425.52
  6. Step 6: Final answer
    x = 464.14

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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.