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Finding the Fourth Proportional to 445.97, 614.94 and 362.93

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Solution

The fourth proportional to 445.97, 614.94 and 362.93 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 614.94 = 362.93 : x
  2. Step 2: Convert to fraction form
    445.97/614.94 = 362.93/x
  3. Step 3: Cross multiply
    445.97x = 614.94 × 362.93
  4. Step 4: Simplify right side
    445.97x = 223,177.10
  5. Step 5: Solve for x
    x = 223,177.10/445.97
  6. Step 6: Final answer
    x = 500.43

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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.