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Finding the Fourth Proportional to 409.84, 566.06 and 322.40

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Solution

The fourth proportional to 409.84, 566.06 and 322.40 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 566.06 = 322.40 : x
  2. Step 2: Convert to fraction form
    409.84/566.06 = 322.40/x
  3. Step 3: Cross multiply
    409.84x = 566.06 × 322.40
  4. Step 4: Simplify right side
    409.84x = 182,497.74
  5. Step 5: Solve for x
    x = 182,497.74/409.84
  6. Step 6: Final answer
    x = 445.29

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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.