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Finding the Fourth Proportional to 405.79, 560.20 and 286.34

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Solution

The fourth proportional to 405.79, 560.20 and 286.34 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 560.20 = 286.34 : x
  2. Step 2: Convert to fraction form
    405.79/560.20 = 286.34/x
  3. Step 3: Cross multiply
    405.79x = 560.20 × 286.34
  4. Step 4: Simplify right side
    405.79x = 160,404.69
  5. Step 5: Solve for x
    x = 160,404.69/405.79
  6. Step 6: Final answer
    x = 395.29

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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.