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Finding the Fourth Proportional to 402.15, 554.94 and 234.08

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Solution

The fourth proportional to 402.15, 554.94 and 234.08 is: 323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.15 : 554.94 = 234.08 : x
  2. Step 2: Convert to fraction form
    402.15/554.94 = 234.08/x
  3. Step 3: Cross multiply
    402.15x = 554.94 × 234.08
  4. Step 4: Simplify right side
    402.15x = 129,897.58
  5. Step 5: Solve for x
    x = 129,897.58/402.15
  6. Step 6: Final answer
    x = 323.01

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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.