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Finding the Fourth Proportional to 425.54, 638.76 and 304.22

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Solution

The fourth proportional to 425.54, 638.76 and 304.22 is: 456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.54 : 638.76 = 304.22 : x
  2. Step 2: Convert to fraction form
    425.54/638.76 = 304.22/x
  3. Step 3: Cross multiply
    425.54x = 638.76 × 304.22
  4. Step 4: Simplify right side
    425.54x = 194,323.57
  5. Step 5: Solve for x
    x = 194,323.57/425.54
  6. Step 6: Final answer
    x = 456.65

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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.