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Finding the Fourth Proportional to 378.61, 564.50 and 369.16

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Solution

The fourth proportional to 378.61, 564.50 and 369.16 is: 550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.61 : 564.50 = 369.16 : x
  2. Step 2: Convert to fraction form
    378.61/564.50 = 369.16/x
  3. Step 3: Cross multiply
    378.61x = 564.50 × 369.16
  4. Step 4: Simplify right side
    378.61x = 208,390.33
  5. Step 5: Solve for x
    x = 208,390.33/378.61
  6. Step 6: Final answer
    x = 550.41

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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.