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Finding the Fourth Proportional to 635.61, 877.03 and 414.55

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Solution

The fourth proportional to 635.61, 877.03 and 414.55 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.61 : 877.03 = 414.55 : x
  2. Step 2: Convert to fraction form
    635.61/877.03 = 414.55/x
  3. Step 3: Cross multiply
    635.61x = 877.03 × 414.55
  4. Step 4: Simplify right side
    635.61x = 363,572.85
  5. Step 5: Solve for x
    x = 363,572.85/635.61
  6. Step 6: Final answer
    x = 572.00

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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.