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Finding the Fourth Proportional to 388.92, 536.52 and 257.76

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Solution

The fourth proportional to 388.92, 536.52 and 257.76 is: 355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.92 : 536.52 = 257.76 : x
  2. Step 2: Convert to fraction form
    388.92/536.52 = 257.76/x
  3. Step 3: Cross multiply
    388.92x = 536.52 × 257.76
  4. Step 4: Simplify right side
    388.92x = 138,293.40
  5. Step 5: Solve for x
    x = 138,293.40/388.92
  6. Step 6: Final answer
    x = 355.58

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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.