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Finding the Fourth Proportional to 476.72, 657.69 and 269.72

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Solution

The fourth proportional to 476.72, 657.69 and 269.72 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 657.69 = 269.72 : x
  2. Step 2: Convert to fraction form
    476.72/657.69 = 269.72/x
  3. Step 3: Cross multiply
    476.72x = 657.69 × 269.72
  4. Step 4: Simplify right side
    476.72x = 177,388.86
  5. Step 5: Solve for x
    x = 177,388.86/476.72
  6. Step 6: Final answer
    x = 372.11

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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.