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Finding the Fourth Proportional to 405.32, 559.31 and 230.63

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Solution

The fourth proportional to 405.32, 559.31 and 230.63 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 559.31 = 230.63 : x
  2. Step 2: Convert to fraction form
    405.32/559.31 = 230.63/x
  3. Step 3: Cross multiply
    405.32x = 559.31 × 230.63
  4. Step 4: Simplify right side
    405.32x = 128,989.72
  5. Step 5: Solve for x
    x = 128,989.72/405.32
  6. Step 6: Final answer
    x = 318.25

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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.