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Finding the Fourth Proportional to 402.17, 554.85 and 328.46

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Solution

The fourth proportional to 402.17, 554.85 and 328.46 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.17 : 554.85 = 328.46 : x
  2. Step 2: Convert to fraction form
    402.17/554.85 = 328.46/x
  3. Step 3: Cross multiply
    402.17x = 554.85 × 328.46
  4. Step 4: Simplify right side
    402.17x = 182,243.26
  5. Step 5: Solve for x
    x = 182,243.26/402.17
  6. Step 6: Final answer
    x = 453.16

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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.