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Finding the Fourth Proportional to 445.69, 614.14 and 288.15

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Solution

The fourth proportional to 445.69, 614.14 and 288.15 is: 397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.69 : 614.14 = 288.15 : x
  2. Step 2: Convert to fraction form
    445.69/614.14 = 288.15/x
  3. Step 3: Cross multiply
    445.69x = 614.14 × 288.15
  4. Step 4: Simplify right side
    445.69x = 176,964.44
  5. Step 5: Solve for x
    x = 176,964.44/445.69
  6. Step 6: Final answer
    x = 397.06

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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.