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Finding the Fourth Proportional to 635.60, 877.56 and 415.12

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Solution

The fourth proportional to 635.60, 877.56 and 415.12 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.60 : 877.56 = 415.12 : x
  2. Step 2: Convert to fraction form
    635.60/877.56 = 415.12/x
  3. Step 3: Cross multiply
    635.60x = 877.56 × 415.12
  4. Step 4: Simplify right side
    635.60x = 364,292.71
  5. Step 5: Solve for x
    x = 364,292.71/635.60
  6. Step 6: Final answer
    x = 573.15

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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.