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Finding the Fourth Proportional to 412.43, 617.90 and 354.11

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Solution

The fourth proportional to 412.43, 617.90 and 354.11 is: 530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.43 : 617.90 = 354.11 : x
  2. Step 2: Convert to fraction form
    412.43/617.90 = 354.11/x
  3. Step 3: Cross multiply
    412.43x = 617.90 × 354.11
  4. Step 4: Simplify right side
    412.43x = 218,799.71
  5. Step 5: Solve for x
    x = 218,799.71/412.43
  6. Step 6: Final answer
    x = 530.52

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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.