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Finding the Fourth Proportional to 378.51, 566.85 and 215.70

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Solution

The fourth proportional to 378.51, 566.85 and 215.70 is: 323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.51 : 566.85 = 215.70 : x
  2. Step 2: Convert to fraction form
    378.51/566.85 = 215.70/x
  3. Step 3: Cross multiply
    378.51x = 566.85 × 215.70
  4. Step 4: Simplify right side
    378.51x = 122,269.55
  5. Step 5: Solve for x
    x = 122,269.55/378.51
  6. Step 6: Final answer
    x = 323.03

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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.