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Finding the Fourth Proportional to 405.81, 560.16 and 266.18

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Solution

The fourth proportional to 405.81, 560.16 and 266.18 is: 367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.81 : 560.16 = 266.18 : x
  2. Step 2: Convert to fraction form
    405.81/560.16 = 266.18/x
  3. Step 3: Cross multiply
    405.81x = 560.16 × 266.18
  4. Step 4: Simplify right side
    405.81x = 149,100.59
  5. Step 5: Solve for x
    x = 149,100.59/405.81
  6. Step 6: Final answer
    x = 367.41

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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.