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Finding the Fourth Proportional to 445.34, 614.29 and 362.45

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Solution

The fourth proportional to 445.34, 614.29 and 362.45 is: 499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.34 : 614.29 = 362.45 : x
  2. Step 2: Convert to fraction form
    445.34/614.29 = 362.45/x
  3. Step 3: Cross multiply
    445.34x = 614.29 × 362.45
  4. Step 4: Simplify right side
    445.34x = 222,649.41
  5. Step 5: Solve for x
    x = 222,649.41/445.34
  6. Step 6: Final answer
    x = 499.95

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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.