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Finding the Fourth Proportional to 349.84, 521.51 and 323.92

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Solution

The fourth proportional to 349.84, 521.51 and 323.92 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.84 : 521.51 = 323.92 : x
  2. Step 2: Convert to fraction form
    349.84/521.51 = 323.92/x
  3. Step 3: Cross multiply
    349.84x = 521.51 × 323.92
  4. Step 4: Simplify right side
    349.84x = 168,927.52
  5. Step 5: Solve for x
    x = 168,927.52/349.84
  6. Step 6: Final answer
    x = 482.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.