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Finding the Fourth Proportional to 549.97, 759.08 and 329.03

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Solution

The fourth proportional to 549.97, 759.08 and 329.03 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.97 : 759.08 = 329.03 : x
  2. Step 2: Convert to fraction form
    549.97/759.08 = 329.03/x
  3. Step 3: Cross multiply
    549.97x = 759.08 × 329.03
  4. Step 4: Simplify right side
    549.97x = 249,758.45
  5. Step 5: Solve for x
    x = 249,758.45/549.97
  6. Step 6: Final answer
    x = 454.14

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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.