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Finding the Fourth Proportional to 445.29, 614.22 and 288.12

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Solution

The fourth proportional to 445.29, 614.22 and 288.12 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 614.22 = 288.12 : x
  2. Step 2: Convert to fraction form
    445.29/614.22 = 288.12/x
  3. Step 3: Cross multiply
    445.29x = 614.22 × 288.12
  4. Step 4: Simplify right side
    445.29x = 176,969.07
  5. Step 5: Solve for x
    x = 176,969.07/445.29
  6. Step 6: Final answer
    x = 397.42

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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.