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Finding the Fourth Proportional to 291.62, 434.85 and 277.26

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Solution

The fourth proportional to 291.62, 434.85 and 277.26 is: 413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 434.85 = 277.26 : x
  2. Step 2: Convert to fraction form
    291.62/434.85 = 277.26/x
  3. Step 3: Cross multiply
    291.62x = 434.85 × 277.26
  4. Step 4: Simplify right side
    291.62x = 120,566.51
  5. Step 5: Solve for x
    x = 120,566.51/291.62
  6. Step 6: Final answer
    x = 413.44

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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.