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Finding the Fourth Proportional to 534.21, 737.49 and 337.83

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Solution

The fourth proportional to 534.21, 737.49 and 337.83 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 737.49 = 337.83 : x
  2. Step 2: Convert to fraction form
    534.21/737.49 = 337.83/x
  3. Step 3: Cross multiply
    534.21x = 737.49 × 337.83
  4. Step 4: Simplify right side
    534.21x = 249,146.25
  5. Step 5: Solve for x
    x = 249,146.25/534.21
  6. Step 6: Final answer
    x = 466.38

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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.