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Finding the Fourth Proportional to 534.66, 737.91 and 338.24

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Solution

The fourth proportional to 534.66, 737.91 and 338.24 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 737.91 = 338.24 : x
  2. Step 2: Convert to fraction form
    534.66/737.91 = 338.24/x
  3. Step 3: Cross multiply
    534.66x = 737.91 × 338.24
  4. Step 4: Simplify right side
    534.66x = 249,586.99
  5. Step 5: Solve for x
    x = 249,586.99/534.66
  6. Step 6: Final answer
    x = 466.81

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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.