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Finding the Fourth Proportional to 405.62, 559.66 and 230.93

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Solution

The fourth proportional to 405.62, 559.66 and 230.93 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.62 : 559.66 = 230.93 : x
  2. Step 2: Convert to fraction form
    405.62/559.66 = 230.93/x
  3. Step 3: Cross multiply
    405.62x = 559.66 × 230.93
  4. Step 4: Simplify right side
    405.62x = 129,241.13
  5. Step 5: Solve for x
    x = 129,241.13/405.62
  6. Step 6: Final answer
    x = 318.63

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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.