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Finding the Fourth Proportional to 635.06, 876.75 and 422.54

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Solution

The fourth proportional to 635.06, 876.75 and 422.54 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.06 : 876.75 = 422.54 : x
  2. Step 2: Convert to fraction form
    635.06/876.75 = 422.54/x
  3. Step 3: Cross multiply
    635.06x = 876.75 × 422.54
  4. Step 4: Simplify right side
    635.06x = 370,461.95
  5. Step 5: Solve for x
    x = 370,461.95/635.06
  6. Step 6: Final answer
    x = 583.35

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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.