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Finding the Fourth Proportional to 476.26, 657.25 and 266.42

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Solution

The fourth proportional to 476.26, 657.25 and 266.42 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 657.25 = 266.42 : x
  2. Step 2: Convert to fraction form
    476.26/657.25 = 266.42/x
  3. Step 3: Cross multiply
    476.26x = 657.25 × 266.42
  4. Step 4: Simplify right side
    476.26x = 175,106.01
  5. Step 5: Solve for x
    x = 175,106.01/476.26
  6. Step 6: Final answer
    x = 367.67

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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.