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Finding the Fourth Proportional to 282.64, 390.10 and 260.68

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Solution

The fourth proportional to 282.64, 390.10 and 260.68 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.64 : 390.10 = 260.68 : x
  2. Step 2: Convert to fraction form
    282.64/390.10 = 260.68/x
  3. Step 3: Cross multiply
    282.64x = 390.10 × 260.68
  4. Step 4: Simplify right side
    282.64x = 101,691.27
  5. Step 5: Solve for x
    x = 101,691.27/282.64
  6. Step 6: Final answer
    x = 359.79

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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.