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Finding the Fourth Proportional to 405.23, 559.05 and 294.46

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Solution

The fourth proportional to 405.23, 559.05 and 294.46 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.23 : 559.05 = 294.46 : x
  2. Step 2: Convert to fraction form
    405.23/559.05 = 294.46/x
  3. Step 3: Cross multiply
    405.23x = 559.05 × 294.46
  4. Step 4: Simplify right side
    405.23x = 164,617.86
  5. Step 5: Solve for x
    x = 164,617.86/405.23
  6. Step 6: Final answer
    x = 406.23

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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.