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Finding the Fourth Proportional to 405.23, 559.14 and 230.57

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Solution

The fourth proportional to 405.23, 559.14 and 230.57 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.23 : 559.14 = 230.57 : x
  2. Step 2: Convert to fraction form
    405.23/559.14 = 230.57/x
  3. Step 3: Cross multiply
    405.23x = 559.14 × 230.57
  4. Step 4: Simplify right side
    405.23x = 128,920.91
  5. Step 5: Solve for x
    x = 128,920.91/405.23
  6. Step 6: Final answer
    x = 318.14

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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.