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Finding the Fourth Proportional to 405.94, 560.19 and 231.28

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Solution

The fourth proportional to 405.94, 560.19 and 231.28 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.94 : 560.19 = 231.28 : x
  2. Step 2: Convert to fraction form
    405.94/560.19 = 231.28/x
  3. Step 3: Cross multiply
    405.94x = 560.19 × 231.28
  4. Step 4: Simplify right side
    405.94x = 129,560.74
  5. Step 5: Solve for x
    x = 129,560.74/405.94
  6. Step 6: Final answer
    x = 319.16

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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.