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Finding the Fourth Proportional to 406.55, 560.89 and 266.83

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Solution

The fourth proportional to 406.55, 560.89 and 266.83 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.55 : 560.89 = 266.83 : x
  2. Step 2: Convert to fraction form
    406.55/560.89 = 266.83/x
  3. Step 3: Cross multiply
    406.55x = 560.89 × 266.83
  4. Step 4: Simplify right side
    406.55x = 149,661.21
  5. Step 5: Solve for x
    x = 149,661.21/406.55
  6. Step 6: Final answer
    x = 368.12

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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.