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Finding the Fourth Proportional to 424.46, 584.96 and 306.23

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Solution

The fourth proportional to 424.46, 584.96 and 306.23 is: 422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 584.96 = 306.23 : x
  2. Step 2: Convert to fraction form
    424.46/584.96 = 306.23/x
  3. Step 3: Cross multiply
    424.46x = 584.96 × 306.23
  4. Step 4: Simplify right side
    424.46x = 179,130.77
  5. Step 5: Solve for x
    x = 179,130.77/424.46
  6. Step 6: Final answer
    x = 422.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.