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Finding the Fourth Proportional to 402.01, 554.30 and 355.84

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Solution

The fourth proportional to 402.01, 554.30 and 355.84 is: 490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 554.30 = 355.84 : x
  2. Step 2: Convert to fraction form
    402.01/554.30 = 355.84/x
  3. Step 3: Cross multiply
    402.01x = 554.30 × 355.84
  4. Step 4: Simplify right side
    402.01x = 197,242.11
  5. Step 5: Solve for x
    x = 197,242.11/402.01
  6. Step 6: Final answer
    x = 490.64

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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.