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Finding the Fourth Proportional to 293.40, 440.70 and 258.15

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Solution

The fourth proportional to 293.40, 440.70 and 258.15 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 440.70 = 258.15 : x
  2. Step 2: Convert to fraction form
    293.40/440.70 = 258.15/x
  3. Step 3: Cross multiply
    293.40x = 440.70 × 258.15
  4. Step 4: Simplify right side
    293.40x = 113,766.71
  5. Step 5: Solve for x
    x = 113,766.71/293.40
  6. Step 6: Final answer
    x = 387.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.