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Finding the Fourth Proportional to 258.44, 390.59 and 253.96

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Solution

The fourth proportional to 258.44, 390.59 and 253.96 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 390.59 = 253.96 : x
  2. Step 2: Convert to fraction form
    258.44/390.59 = 253.96/x
  3. Step 3: Cross multiply
    258.44x = 390.59 × 253.96
  4. Step 4: Simplify right side
    258.44x = 99,194.24
  5. Step 5: Solve for x
    x = 99,194.24/258.44
  6. Step 6: Final answer
    x = 383.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.