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Finding the Fourth Proportional to 388.40, 536.08 and 257.36

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Solution

The fourth proportional to 388.40, 536.08 and 257.36 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 536.08 = 257.36 : x
  2. Step 2: Convert to fraction form
    388.40/536.08 = 257.36/x
  3. Step 3: Cross multiply
    388.40x = 536.08 × 257.36
  4. Step 4: Simplify right side
    388.40x = 137,965.55
  5. Step 5: Solve for x
    x = 137,965.55/388.40
  6. Step 6: Final answer
    x = 355.22

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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.