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Finding the Fourth Proportional to 409.08, 564.30 and 292.44

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Solution

The fourth proportional to 409.08, 564.30 and 292.44 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 564.30 = 292.44 : x
  2. Step 2: Convert to fraction form
    409.08/564.30 = 292.44/x
  3. Step 3: Cross multiply
    409.08x = 564.30 × 292.44
  4. Step 4: Simplify right side
    409.08x = 165,023.89
  5. Step 5: Solve for x
    x = 165,023.89/409.08
  6. Step 6: Final answer
    x = 403.40

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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.