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Finding the Fourth Proportional to 635.77, 877.80 and 461.62

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Solution

The fourth proportional to 635.77, 877.80 and 461.62 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.77 : 877.80 = 461.62 : x
  2. Step 2: Convert to fraction form
    635.77/877.80 = 461.62/x
  3. Step 3: Cross multiply
    635.77x = 877.80 × 461.62
  4. Step 4: Simplify right side
    635.77x = 405,210.04
  5. Step 5: Solve for x
    x = 405,210.04/635.77
  6. Step 6: Final answer
    x = 637.35

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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.