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Finding the Fourth Proportional to 289.34, 431.38 and 277.09

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Solution

The fourth proportional to 289.34, 431.38 and 277.09 is: 413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 431.38 = 277.09 : x
  2. Step 2: Convert to fraction form
    289.34/431.38 = 277.09/x
  3. Step 3: Cross multiply
    289.34x = 431.38 × 277.09
  4. Step 4: Simplify right side
    289.34x = 119,530.93
  5. Step 5: Solve for x
    x = 119,530.93/289.34
  6. Step 6: Final answer
    x = 413.11

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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.