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Finding the Fourth Proportional to 476.42, 657.37 and 266.55

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Solution

The fourth proportional to 476.42, 657.37 and 266.55 is: 367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 657.37 = 266.55 : x
  2. Step 2: Convert to fraction form
    476.42/657.37 = 266.55/x
  3. Step 3: Cross multiply
    476.42x = 657.37 × 266.55
  4. Step 4: Simplify right side
    476.42x = 175,223.62
  5. Step 5: Solve for x
    x = 175,223.62/476.42
  6. Step 6: Final answer
    x = 367.79

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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.