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Finding the Fourth Proportional to 637.10, 879.69 and 413.14

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Solution

The fourth proportional to 637.10, 879.69 and 413.14 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.10 : 879.69 = 413.14 : x
  2. Step 2: Convert to fraction form
    637.10/879.69 = 413.14/x
  3. Step 3: Cross multiply
    637.10x = 879.69 × 413.14
  4. Step 4: Simplify right side
    637.10x = 363,437.78
  5. Step 5: Solve for x
    x = 363,437.78/637.10
  6. Step 6: Final answer
    x = 570.46

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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.