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Finding the Fourth Proportional to 386.38, 532.86 and 260.20

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Solution

The fourth proportional to 386.38, 532.86 and 260.20 is: 358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.38 : 532.86 = 260.20 : x
  2. Step 2: Convert to fraction form
    386.38/532.86 = 260.20/x
  3. Step 3: Cross multiply
    386.38x = 532.86 × 260.20
  4. Step 4: Simplify right side
    386.38x = 138,650.17
  5. Step 5: Solve for x
    x = 138,650.17/386.38
  6. Step 6: Final answer
    x = 358.84

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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.