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Finding the Fourth Proportional to 378.96, 567.88 and 310.96

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Solution

The fourth proportional to 378.96, 567.88 and 310.96 is: 465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 567.88 = 310.96 : x
  2. Step 2: Convert to fraction form
    378.96/567.88 = 310.96/x
  3. Step 3: Cross multiply
    378.96x = 567.88 × 310.96
  4. Step 4: Simplify right side
    378.96x = 176,587.96
  5. Step 5: Solve for x
    x = 176,587.96/378.96
  6. Step 6: Final answer
    x = 465.98

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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.