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Finding the Fourth Proportional to 409.65, 566.76 and 394.66

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Solution

The fourth proportional to 409.65, 566.76 and 394.66 is: 546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 566.76 = 394.66 : x
  2. Step 2: Convert to fraction form
    409.65/566.76 = 394.66/x
  3. Step 3: Cross multiply
    409.65x = 566.76 × 394.66
  4. Step 4: Simplify right side
    409.65x = 223,677.50
  5. Step 5: Solve for x
    x = 223,677.50/409.65
  6. Step 6: Final answer
    x = 546.02

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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.