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Finding the Fourth Proportional to 635.04, 876.50 and 413.60

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Solution

The fourth proportional to 635.04, 876.50 and 413.60 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.04 : 876.50 = 413.60 : x
  2. Step 2: Convert to fraction form
    635.04/876.50 = 413.60/x
  3. Step 3: Cross multiply
    635.04x = 876.50 × 413.60
  4. Step 4: Simplify right side
    635.04x = 362,520.40
  5. Step 5: Solve for x
    x = 362,520.40/635.04
  6. Step 6: Final answer
    x = 570.86

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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.