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Finding the Fourth Proportional to 534.70, 738 and 338.17

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Solution

The fourth proportional to 534.70, 738 and 338.17 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 738 = 338.17 : x
  2. Step 2: Convert to fraction form
    534.70/738 = 338.17/x
  3. Step 3: Cross multiply
    534.70x = 738 × 338.17
  4. Step 4: Simplify right side
    534.70x = 249,569.46
  5. Step 5: Solve for x
    x = 249,569.46/534.70
  6. Step 6: Final answer
    x = 466.75

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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.