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Finding the Fourth Proportional to 467.75, 645.51 and 260.75

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Solution

The fourth proportional to 467.75, 645.51 and 260.75 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 645.51 = 260.75 : x
  2. Step 2: Convert to fraction form
    467.75/645.51 = 260.75/x
  3. Step 3: Cross multiply
    467.75x = 645.51 × 260.75
  4. Step 4: Simplify right side
    467.75x = 168,316.73
  5. Step 5: Solve for x
    x = 168,316.73/467.75
  6. Step 6: Final answer
    x = 359.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.