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Finding the Fourth Proportional to 411.94, 616.80 and 378.10

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Solution

The fourth proportional to 411.94, 616.80 and 378.10 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 616.80 = 378.10 : x
  2. Step 2: Convert to fraction form
    411.94/616.80 = 378.10/x
  3. Step 3: Cross multiply
    411.94x = 616.80 × 378.10
  4. Step 4: Simplify right side
    411.94x = 233,209.00
  5. Step 5: Solve for x
    x = 233,209.00/411.94
  6. Step 6: Final answer
    x = 566.13

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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.