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Finding the Fourth Proportional to 378.84, 567.63 and 224.91

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Solution

The fourth proportional to 378.84, 567.63 and 224.91 is: 336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 567.63 = 224.91 : x
  2. Step 2: Convert to fraction form
    378.84/567.63 = 224.91/x
  3. Step 3: Cross multiply
    378.84x = 567.63 × 224.91
  4. Step 4: Simplify right side
    378.84x = 127,665.66
  5. Step 5: Solve for x
    x = 127,665.66/378.84
  6. Step 6: Final answer
    x = 336.99

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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.