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Finding the Fourth Proportional to 409.77, 564.71 and 293.13

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Solution

The fourth proportional to 409.77, 564.71 and 293.13 is: 403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 564.71 = 293.13 : x
  2. Step 2: Convert to fraction form
    409.77/564.71 = 293.13/x
  3. Step 3: Cross multiply
    409.77x = 564.71 × 293.13
  4. Step 4: Simplify right side
    409.77x = 165,531.98
  5. Step 5: Solve for x
    x = 165,531.98/409.77
  6. Step 6: Final answer
    x = 403.96

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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.