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Finding the Fourth Proportional to 388.68, 536.28 and 257.46

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Solution

The fourth proportional to 388.68, 536.28 and 257.46 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 536.28 = 257.46 : x
  2. Step 2: Convert to fraction form
    388.68/536.28 = 257.46/x
  3. Step 3: Cross multiply
    388.68x = 536.28 × 257.46
  4. Step 4: Simplify right side
    388.68x = 138,070.65
  5. Step 5: Solve for x
    x = 138,070.65/388.68
  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.