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Finding the Fourth Proportional to 286.53, 427.33 and 258.85

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Solution

The fourth proportional to 286.53, 427.33 and 258.85 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.53 : 427.33 = 258.85 : x
  2. Step 2: Convert to fraction form
    286.53/427.33 = 258.85/x
  3. Step 3: Cross multiply
    286.53x = 427.33 × 258.85
  4. Step 4: Simplify right side
    286.53x = 110,615.23
  5. Step 5: Solve for x
    x = 110,615.23/286.53
  6. Step 6: Final answer
    x = 386.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.