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Finding the Fourth Proportional to 340.87, 470.46 and 258.25

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Solution

The fourth proportional to 340.87, 470.46 and 258.25 is: 356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.87 : 470.46 = 258.25 : x
  2. Step 2: Convert to fraction form
    340.87/470.46 = 258.25/x
  3. Step 3: Cross multiply
    340.87x = 470.46 × 258.25
  4. Step 4: Simplify right side
    340.87x = 121,496.30
  5. Step 5: Solve for x
    x = 121,496.30/340.87
  6. Step 6: Final answer
    x = 356.43

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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.