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Finding the Fourth Proportional to 378.84, 567.80 and 268.98

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Solution

The fourth proportional to 378.84, 567.80 and 268.98 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 567.80 = 268.98 : x
  2. Step 2: Convert to fraction form
    378.84/567.80 = 268.98/x
  3. Step 3: Cross multiply
    378.84x = 567.80 × 268.98
  4. Step 4: Simplify right side
    378.84x = 152,727.57
  5. Step 5: Solve for x
    x = 152,727.57/378.84
  6. Step 6: Final answer
    x = 403.14

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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.