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Finding the Fourth Proportional to 424.84, 585.54 and 326.38

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Solution

The fourth proportional to 424.84, 585.54 and 326.38 is: 449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 585.54 = 326.38 : x
  2. Step 2: Convert to fraction form
    424.84/585.54 = 326.38/x
  3. Step 3: Cross multiply
    424.84x = 585.54 × 326.38
  4. Step 4: Simplify right side
    424.84x = 191,108.55
  5. Step 5: Solve for x
    x = 191,108.55/424.84
  6. Step 6: Final answer
    x = 449.84

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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.