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Finding the Fourth Proportional to 378.06, 566.69 and 215.40

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Solution

The fourth proportional to 378.06, 566.69 and 215.40 is: 322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 566.69 = 215.40 : x
  2. Step 2: Convert to fraction form
    378.06/566.69 = 215.40/x
  3. Step 3: Cross multiply
    378.06x = 566.69 × 215.40
  4. Step 4: Simplify right side
    378.06x = 122,063.95
  5. Step 5: Solve for x
    x = 122,063.95/378.06
  6. Step 6: Final answer
    x = 322.87

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Why These Related Problems?

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