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Finding the Fourth Proportional to 288.90, 398.88 and 257.72

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Solution

The fourth proportional to 288.90, 398.88 and 257.72 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 398.88 = 257.72 : x
  2. Step 2: Convert to fraction form
    288.90/398.88 = 257.72/x
  3. Step 3: Cross multiply
    288.90x = 398.88 × 257.72
  4. Step 4: Simplify right side
    288.90x = 102,797.36
  5. Step 5: Solve for x
    x = 102,797.36/288.90
  6. Step 6: Final answer
    x = 355.82

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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.