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Finding the Fourth Proportional to 613.28, 846.72 and 380.72

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Solution

The fourth proportional to 613.28, 846.72 and 380.72 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.28 : 846.72 = 380.72 : x
  2. Step 2: Convert to fraction form
    613.28/846.72 = 380.72/x
  3. Step 3: Cross multiply
    613.28x = 846.72 × 380.72
  4. Step 4: Simplify right side
    613.28x = 322,363.24
  5. Step 5: Solve for x
    x = 322,363.24/613.28
  6. Step 6: Final answer
    x = 525.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.