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Finding the Fourth Proportional to 410.46, 566.02 and 285.99

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Solution

The fourth proportional to 410.46, 566.02 and 285.99 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.46 : 566.02 = 285.99 : x
  2. Step 2: Convert to fraction form
    410.46/566.02 = 285.99/x
  3. Step 3: Cross multiply
    410.46x = 566.02 × 285.99
  4. Step 4: Simplify right side
    410.46x = 161,876.06
  5. Step 5: Solve for x
    x = 161,876.06/410.46
  6. Step 6: Final answer
    x = 394.38

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Why These Related Problems?

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