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Finding the Fourth Proportional to 444.62, 614.10 and 297

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Solution

The fourth proportional to 444.62, 614.10 and 297 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.62 : 614.10 = 297 : x
  2. Step 2: Convert to fraction form
    444.62/614.10 = 297/x
  3. Step 3: Cross multiply
    444.62x = 614.10 × 297
  4. Step 4: Simplify right side
    444.62x = 182,387.70
  5. Step 5: Solve for x
    x = 182,387.70/444.62
  6. Step 6: Final answer
    x = 410.21

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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.