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Finding the Fourth Proportional to 423.71, 635.02 and 306.98

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Solution

The fourth proportional to 423.71, 635.02 and 306.98 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.71 : 635.02 = 306.98 : x
  2. Step 2: Convert to fraction form
    423.71/635.02 = 306.98/x
  3. Step 3: Cross multiply
    423.71x = 635.02 × 306.98
  4. Step 4: Simplify right side
    423.71x = 194,938.44
  5. Step 5: Solve for x
    x = 194,938.44/423.71
  6. Step 6: Final answer
    x = 460.08

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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.