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Finding the Fourth Proportional to 410.92, 566.82 and 294.28

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Solution

The fourth proportional to 410.92, 566.82 and 294.28 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 566.82 = 294.28 : x
  2. Step 2: Convert to fraction form
    410.92/566.82 = 294.28/x
  3. Step 3: Cross multiply
    410.92x = 566.82 × 294.28
  4. Step 4: Simplify right side
    410.92x = 166,803.79
  5. Step 5: Solve for x
    x = 166,803.79/410.92
  6. Step 6: Final answer
    x = 405.93

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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.