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Finding the Fourth Proportional to 635.52, 876.78 and 402.24

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Solution

The fourth proportional to 635.52, 876.78 and 402.24 is: 554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.52 : 876.78 = 402.24 : x
  2. Step 2: Convert to fraction form
    635.52/876.78 = 402.24/x
  3. Step 3: Cross multiply
    635.52x = 876.78 × 402.24
  4. Step 4: Simplify right side
    635.52x = 352,675.99
  5. Step 5: Solve for x
    x = 352,675.99/635.52
  6. Step 6: Final answer
    x = 554.94

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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.