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Finding the Fourth Proportional to 426.19, 638.67 and 304.69

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Solution

The fourth proportional to 426.19, 638.67 and 304.69 is: 456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.19 : 638.67 = 304.69 : x
  2. Step 2: Convert to fraction form
    426.19/638.67 = 304.69/x
  3. Step 3: Cross multiply
    426.19x = 638.67 × 304.69
  4. Step 4: Simplify right side
    426.19x = 194,596.36
  5. Step 5: Solve for x
    x = 194,596.36/426.19
  6. Step 6: Final answer
    x = 456.60

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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.