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Finding the Fourth Proportional to 291.77, 436.37 and 259.49

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Solution

The fourth proportional to 291.77, 436.37 and 259.49 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.77 : 436.37 = 259.49 : x
  2. Step 2: Convert to fraction form
    291.77/436.37 = 259.49/x
  3. Step 3: Cross multiply
    291.77x = 436.37 × 259.49
  4. Step 4: Simplify right side
    291.77x = 113,232.45
  5. Step 5: Solve for x
    x = 113,232.45/291.77
  6. Step 6: Final answer
    x = 388.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.