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Finding the Fourth Proportional to 405.63, 559.71 and 230.94

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Solution

The fourth proportional to 405.63, 559.71 and 230.94 is: 318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.63 : 559.71 = 230.94 : x
  2. Step 2: Convert to fraction form
    405.63/559.71 = 230.94/x
  3. Step 3: Cross multiply
    405.63x = 559.71 × 230.94
  4. Step 4: Simplify right side
    405.63x = 129,259.43
  5. Step 5: Solve for x
    x = 129,259.43/405.63
  6. Step 6: Final answer
    x = 318.66

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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.