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Finding the Fourth Proportional to 534.71, 738.22 and 366.93

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Solution

The fourth proportional to 534.71, 738.22 and 366.93 is: 506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 738.22 = 366.93 : x
  2. Step 2: Convert to fraction form
    534.71/738.22 = 366.93/x
  3. Step 3: Cross multiply
    534.71x = 738.22 × 366.93
  4. Step 4: Simplify right side
    534.71x = 270,878.30
  5. Step 5: Solve for x
    x = 270,878.30/534.71
  6. Step 6: Final answer
    x = 506.59

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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.