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Finding the Fourth Proportional to 280.65, 387.75 and 264.25

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Solution

The fourth proportional to 280.65, 387.75 and 264.25 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 387.75 = 264.25 : x
  2. Step 2: Convert to fraction form
    280.65/387.75 = 264.25/x
  3. Step 3: Cross multiply
    280.65x = 387.75 × 264.25
  4. Step 4: Simplify right side
    280.65x = 102,462.94
  5. Step 5: Solve for x
    x = 102,462.94/280.65
  6. Step 6: Final answer
    x = 365.09

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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.