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Finding the Fourth Proportional to 635.24, 876.84 and 402.68

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Solution

The fourth proportional to 635.24, 876.84 and 402.68 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 876.84 = 402.68 : x
  2. Step 2: Convert to fraction form
    635.24/876.84 = 402.68/x
  3. Step 3: Cross multiply
    635.24x = 876.84 × 402.68
  4. Step 4: Simplify right side
    635.24x = 353,085.93
  5. Step 5: Solve for x
    x = 353,085.93/635.24
  6. Step 6: Final answer
    x = 555.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.