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Finding the Fourth Proportional to 410.42, 566.27 and 285.94

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Solution

The fourth proportional to 410.42, 566.27 and 285.94 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.42 : 566.27 = 285.94 : x
  2. Step 2: Convert to fraction form
    410.42/566.27 = 285.94/x
  3. Step 3: Cross multiply
    410.42x = 566.27 × 285.94
  4. Step 4: Simplify right side
    410.42x = 161,919.24
  5. Step 5: Solve for x
    x = 161,919.24/410.42
  6. Step 6: Final answer
    x = 394.52

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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.