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Finding the Fourth Proportional to 534.45, 738 and 338.31

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Solution

The fourth proportional to 534.45, 738 and 338.31 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 738 = 338.31 : x
  2. Step 2: Convert to fraction form
    534.45/738 = 338.31/x
  3. Step 3: Cross multiply
    534.45x = 738 × 338.31
  4. Step 4: Simplify right side
    534.45x = 249,672.78
  5. Step 5: Solve for x
    x = 249,672.78/534.45
  6. Step 6: Final answer
    x = 467.16

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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.