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Finding the Fourth Proportional to 406.86, 561.73 and 313.43

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Solution

The fourth proportional to 406.86, 561.73 and 313.43 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 561.73 = 313.43 : x
  2. Step 2: Convert to fraction form
    406.86/561.73 = 313.43/x
  3. Step 3: Cross multiply
    406.86x = 561.73 × 313.43
  4. Step 4: Simplify right side
    406.86x = 176,061.47
  5. Step 5: Solve for x
    x = 176,061.47/406.86
  6. Step 6: Final answer
    x = 432.73

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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.