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Finding the Fourth Proportional to 387.56, 535.52 and 288.38

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Solution

The fourth proportional to 387.56, 535.52 and 288.38 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.56 : 535.52 = 288.38 : x
  2. Step 2: Convert to fraction form
    387.56/535.52 = 288.38/x
  3. Step 3: Cross multiply
    387.56x = 535.52 × 288.38
  4. Step 4: Simplify right side
    387.56x = 154,431.84
  5. Step 5: Solve for x
    x = 154,431.84/387.56
  6. Step 6: Final answer
    x = 398.47

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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.