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Finding the Fourth Proportional to 534.33, 737.15 and 338.04

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Solution

The fourth proportional to 534.33, 737.15 and 338.04 is: 466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 737.15 = 338.04 : x
  2. Step 2: Convert to fraction form
    534.33/737.15 = 338.04/x
  3. Step 3: Cross multiply
    534.33x = 737.15 × 338.04
  4. Step 4: Simplify right side
    534.33x = 249,186.19
  5. Step 5: Solve for x
    x = 249,186.19/534.33
  6. Step 6: Final answer
    x = 466.35

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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.