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Finding the Fourth Proportional to 388.06, 535.78 and 257.29

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Solution

The fourth proportional to 388.06, 535.78 and 257.29 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 535.78 = 257.29 : x
  2. Step 2: Convert to fraction form
    388.06/535.78 = 257.29/x
  3. Step 3: Cross multiply
    388.06x = 535.78 × 257.29
  4. Step 4: Simplify right side
    388.06x = 137,848.16
  5. Step 5: Solve for x
    x = 137,848.16/388.06
  6. Step 6: Final answer
    x = 355.23

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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.