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Finding the Fourth Proportional to 409.84, 564.04 and 293.20

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Solution

The fourth proportional to 409.84, 564.04 and 293.20 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 564.04 = 293.20 : x
  2. Step 2: Convert to fraction form
    409.84/564.04 = 293.20/x
  3. Step 3: Cross multiply
    409.84x = 564.04 × 293.20
  4. Step 4: Simplify right side
    409.84x = 165,376.53
  5. Step 5: Solve for x
    x = 165,376.53/409.84
  6. Step 6: Final answer
    x = 403.51

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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.