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Finding the Fourth Proportional to 405.74, 560.11 and 265.87

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Solution

The fourth proportional to 405.74, 560.11 and 265.87 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 560.11 = 265.87 : x
  2. Step 2: Convert to fraction form
    405.74/560.11 = 265.87/x
  3. Step 3: Cross multiply
    405.74x = 560.11 × 265.87
  4. Step 4: Simplify right side
    405.74x = 148,912.98
  5. Step 5: Solve for x
    x = 148,912.98/405.74
  6. Step 6: Final answer
    x = 367.02

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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.