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Finding the Fourth Proportional to 260.42, 358.36 and 258.82

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Solution

The fourth proportional to 260.42, 358.36 and 258.82 is: 356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 358.36 = 258.82 : x
  2. Step 2: Convert to fraction form
    260.42/358.36 = 258.82/x
  3. Step 3: Cross multiply
    260.42x = 358.36 × 258.82
  4. Step 4: Simplify right side
    260.42x = 92,750.74
  5. Step 5: Solve for x
    x = 92,750.74/260.42
  6. Step 6: Final answer
    x = 356.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.