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Finding the Fourth Proportional to 445.04, 614.33 and 297.62

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Solution

The fourth proportional to 445.04, 614.33 and 297.62 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.04 : 614.33 = 297.62 : x
  2. Step 2: Convert to fraction form
    445.04/614.33 = 297.62/x
  3. Step 3: Cross multiply
    445.04x = 614.33 × 297.62
  4. Step 4: Simplify right side
    445.04x = 182,836.89
  5. Step 5: Solve for x
    x = 182,836.89/445.04
  6. Step 6: Final answer
    x = 410.83

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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.