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Finding the Fourth Proportional to 388.74, 535.99 and 270.82

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Solution

The fourth proportional to 388.74, 535.99 and 270.82 is: 373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.74 : 535.99 = 270.82 : x
  2. Step 2: Convert to fraction form
    388.74/535.99 = 270.82/x
  3. Step 3: Cross multiply
    388.74x = 535.99 × 270.82
  4. Step 4: Simplify right side
    388.74x = 145,154.79
  5. Step 5: Solve for x
    x = 145,154.79/388.74
  6. Step 6: Final answer
    x = 373.40

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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.