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Finding the Fourth Proportional to 406.02, 560.36 and 266.25

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Solution

The fourth proportional to 406.02, 560.36 and 266.25 is: 367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.36 = 266.25 : x
  2. Step 2: Convert to fraction form
    406.02/560.36 = 266.25/x
  3. Step 3: Cross multiply
    406.02x = 560.36 × 266.25
  4. Step 4: Simplify right side
    406.02x = 149,197.62
  5. Step 5: Solve for x
    x = 149,197.62/406.02
  6. Step 6: Final answer
    x = 367.46

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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.