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Finding the Fourth Proportional to 388.50, 536.07 and 257.67

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Solution

The fourth proportional to 388.50, 536.07 and 257.67 is: 355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.50 : 536.07 = 257.67 : x
  2. Step 2: Convert to fraction form
    388.50/536.07 = 257.67/x
  3. Step 3: Cross multiply
    388.50x = 536.07 × 257.67
  4. Step 4: Simplify right side
    388.50x = 138,129.16
  5. Step 5: Solve for x
    x = 138,129.16/388.50
  6. Step 6: Final answer
    x = 355.54

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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.