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Finding the Fourth Proportional to 405.84, 560.09 and 231.20

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Solution

The fourth proportional to 405.84, 560.09 and 231.20 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 560.09 = 231.20 : x
  2. Step 2: Convert to fraction form
    405.84/560.09 = 231.20/x
  3. Step 3: Cross multiply
    405.84x = 560.09 × 231.20
  4. Step 4: Simplify right side
    405.84x = 129,490.59
  5. Step 5: Solve for x
    x = 129,490.59/405.84
  6. Step 6: Final answer
    x = 319.07

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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.