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Finding the Fourth Proportional to 445.47, 614.36 and 279.70

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Solution

The fourth proportional to 445.47, 614.36 and 279.70 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 614.36 = 279.70 : x
  2. Step 2: Convert to fraction form
    445.47/614.36 = 279.70/x
  3. Step 3: Cross multiply
    445.47x = 614.36 × 279.70
  4. Step 4: Simplify right side
    445.47x = 171,835.86
  5. Step 5: Solve for x
    x = 171,835.86/445.47
  6. Step 6: Final answer
    x = 385.74

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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.