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Finding the Fourth Proportional to 349.21, 522.89 and 288.61

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Solution

The fourth proportional to 349.21, 522.89 and 288.61 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.21 : 522.89 = 288.61 : x
  2. Step 2: Convert to fraction form
    349.21/522.89 = 288.61/x
  3. Step 3: Cross multiply
    349.21x = 522.89 × 288.61
  4. Step 4: Simplify right side
    349.21x = 150,911.28
  5. Step 5: Solve for x
    x = 150,911.28/349.21
  6. Step 6: Final answer
    x = 432.15

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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.