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Finding the Fourth Proportional to 387.72, 535.28 and 240.48

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Solution

The fourth proportional to 387.72, 535.28 and 240.48 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 535.28 = 240.48 : x
  2. Step 2: Convert to fraction form
    387.72/535.28 = 240.48/x
  3. Step 3: Cross multiply
    387.72x = 535.28 × 240.48
  4. Step 4: Simplify right side
    387.72x = 128,724.13
  5. Step 5: Solve for x
    x = 128,724.13/387.72
  6. Step 6: Final answer
    x = 332.00

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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.