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Finding the Fourth Proportional to 476.45, 657.42 and 266.57

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Solution

The fourth proportional to 476.45, 657.42 and 266.57 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.45 : 657.42 = 266.57 : x
  2. Step 2: Convert to fraction form
    476.45/657.42 = 266.57/x
  3. Step 3: Cross multiply
    476.45x = 657.42 × 266.57
  4. Step 4: Simplify right side
    476.45x = 175,245.16
  5. Step 5: Solve for x
    x = 175,245.16/476.45
  6. Step 6: Final answer
    x = 367.82

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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.