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Finding the Fourth Proportional to 349.49, 522.68 and 288.14

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Solution

The fourth proportional to 349.49, 522.68 and 288.14 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.49 : 522.68 = 288.14 : x
  2. Step 2: Convert to fraction form
    349.49/522.68 = 288.14/x
  3. Step 3: Cross multiply
    349.49x = 522.68 × 288.14
  4. Step 4: Simplify right side
    349.49x = 150,600.96
  5. Step 5: Solve for x
    x = 150,600.96/349.49
  6. Step 6: Final answer
    x = 430.92

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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.