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Finding the Fourth Proportional to 635.64, 877.02 and 402.78

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Solution

The fourth proportional to 635.64, 877.02 and 402.78 is: 555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 877.02 = 402.78 : x
  2. Step 2: Convert to fraction form
    635.64/877.02 = 402.78/x
  3. Step 3: Cross multiply
    635.64x = 877.02 × 402.78
  4. Step 4: Simplify right side
    635.64x = 353,246.12
  5. Step 5: Solve for x
    x = 353,246.12/635.64
  6. Step 6: Final answer
    x = 555.73

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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.