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Finding the Fourth Proportional to 296.24, 441.42 and 277.64

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Solution

The fourth proportional to 296.24, 441.42 and 277.64 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 441.42 = 277.64 : x
  2. Step 2: Convert to fraction form
    296.24/441.42 = 277.64/x
  3. Step 3: Cross multiply
    296.24x = 441.42 × 277.64
  4. Step 4: Simplify right side
    296.24x = 122,555.85
  5. Step 5: Solve for x
    x = 122,555.85/296.24
  6. Step 6: Final answer
    x = 413.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.