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Finding the Fourth Proportional to 424.48, 584.08 and 326.20

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Solution

The fourth proportional to 424.48, 584.08 and 326.20 is: 448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.48 : 584.08 = 326.20 : x
  2. Step 2: Convert to fraction form
    424.48/584.08 = 326.20/x
  3. Step 3: Cross multiply
    424.48x = 584.08 × 326.20
  4. Step 4: Simplify right side
    424.48x = 190,526.90
  5. Step 5: Solve for x
    x = 190,526.90/424.48
  6. Step 6: Final answer
    x = 448.85

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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.