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Finding the Fourth Proportional to 378.65, 567.98 and 104.77

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Solution

The fourth proportional to 378.65, 567.98 and 104.77 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 567.98 = 104.77 : x
  2. Step 2: Convert to fraction form
    378.65/567.98 = 104.77/x
  3. Step 3: Cross multiply
    378.65x = 567.98 × 104.77
  4. Step 4: Simplify right side
    378.65x = 59,507.26
  5. Step 5: Solve for x
    x = 59,507.26/378.65
  6. Step 6: Final answer
    x = 157.16

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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.