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Finding the Fourth Proportional to 387.75, 581.91 and 259.77

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Solution

The fourth proportional to 387.75, 581.91 and 259.77 is: 389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 581.91 = 259.77 : x
  2. Step 2: Convert to fraction form
    387.75/581.91 = 259.77/x
  3. Step 3: Cross multiply
    387.75x = 581.91 × 259.77
  4. Step 4: Simplify right side
    387.75x = 151,162.76
  5. Step 5: Solve for x
    x = 151,162.76/387.75
  6. Step 6: Final answer
    x = 389.85

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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.