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Finding the Fourth Proportional to 288.77, 435.18 and 259.91

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Solution

The fourth proportional to 288.77, 435.18 and 259.91 is: 391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 435.18 = 259.91 : x
  2. Step 2: Convert to fraction form
    288.77/435.18 = 259.91/x
  3. Step 3: Cross multiply
    288.77x = 435.18 × 259.91
  4. Step 4: Simplify right side
    288.77x = 113,107.63
  5. Step 5: Solve for x
    x = 113,107.63/288.77
  6. Step 6: Final answer
    x = 391.69

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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.