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Finding the Fourth Proportional to 291.87, 440.37 and 289.44

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Solution

The fourth proportional to 291.87, 440.37 and 289.44 is: 436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.87 : 440.37 = 289.44 : x
  2. Step 2: Convert to fraction form
    291.87/440.37 = 289.44/x
  3. Step 3: Cross multiply
    291.87x = 440.37 × 289.44
  4. Step 4: Simplify right side
    291.87x = 127,460.69
  5. Step 5: Solve for x
    x = 127,460.69/291.87
  6. Step 6: Final answer
    x = 436.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.