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Finding the Fourth Proportional to 410.94, 566.82 and 323.46

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Solution

The fourth proportional to 410.94, 566.82 and 323.46 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 566.82 = 323.46 : x
  2. Step 2: Convert to fraction form
    410.94/566.82 = 323.46/x
  3. Step 3: Cross multiply
    410.94x = 566.82 × 323.46
  4. Step 4: Simplify right side
    410.94x = 183,343.60
  5. Step 5: Solve for x
    x = 183,343.60/410.94
  6. Step 6: Final answer
    x = 446.16

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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.