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Finding the Fourth Proportional to 410.94, 566.83 and 284.69

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Solution

The fourth proportional to 410.94, 566.83 and 284.69 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 566.83 = 284.69 : x
  2. Step 2: Convert to fraction form
    410.94/566.83 = 284.69/x
  3. Step 3: Cross multiply
    410.94x = 566.83 × 284.69
  4. Step 4: Simplify right side
    410.94x = 161,367.29
  5. Step 5: Solve for x
    x = 161,367.29/410.94
  6. Step 6: Final answer
    x = 392.68

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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.