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Finding the Fourth Proportional to 476.20, 657 and 269.20

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Solution

The fourth proportional to 476.20, 657 and 269.20 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.20 : 657 = 269.20 : x
  2. Step 2: Convert to fraction form
    476.20/657 = 269.20/x
  3. Step 3: Cross multiply
    476.20x = 657 × 269.20
  4. Step 4: Simplify right side
    476.20x = 176,864.40
  5. Step 5: Solve for x
    x = 176,864.40/476.20
  6. Step 6: Final answer
    x = 371.41

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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.