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Finding the Fourth Proportional to 445.18, 614.23 and 265.70

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Solution

The fourth proportional to 445.18, 614.23 and 265.70 is: 366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.18 : 614.23 = 265.70 : x
  2. Step 2: Convert to fraction form
    445.18/614.23 = 265.70/x
  3. Step 3: Cross multiply
    445.18x = 614.23 × 265.70
  4. Step 4: Simplify right side
    445.18x = 163,200.91
  5. Step 5: Solve for x
    x = 163,200.91/445.18
  6. Step 6: Final answer
    x = 366.60

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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.