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Finding the Fourth Proportional to 549.28, 758.16 and 328.27

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Solution

The fourth proportional to 549.28, 758.16 and 328.27 is: 453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.28 : 758.16 = 328.27 : x
  2. Step 2: Convert to fraction form
    549.28/758.16 = 328.27/x
  3. Step 3: Cross multiply
    549.28x = 758.16 × 328.27
  4. Step 4: Simplify right side
    549.28x = 248,881.18
  5. Step 5: Solve for x
    x = 248,881.18/549.28
  6. Step 6: Final answer
    x = 453.10

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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.