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Finding the Fourth Proportional to 415.41, 574.47 and 366.18

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Solution

The fourth proportional to 415.41, 574.47 and 366.18 is: 506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 574.47 = 366.18 : x
  2. Step 2: Convert to fraction form
    415.41/574.47 = 366.18/x
  3. Step 3: Cross multiply
    415.41x = 574.47 × 366.18
  4. Step 4: Simplify right side
    415.41x = 210,359.42
  5. Step 5: Solve for x
    x = 210,359.42/415.41
  6. Step 6: Final answer
    x = 506.39

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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.