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Finding the Fourth Proportional to 409.96, 565.86 and 293.56

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Solution

The fourth proportional to 409.96, 565.86 and 293.56 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 565.86 = 293.56 : x
  2. Step 2: Convert to fraction form
    409.96/565.86 = 293.56/x
  3. Step 3: Cross multiply
    409.96x = 565.86 × 293.56
  4. Step 4: Simplify right side
    409.96x = 166,113.86
  5. Step 5: Solve for x
    x = 166,113.86/409.96
  6. Step 6: Final answer
    x = 405.20

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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.