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Finding the Fourth Proportional to 476, 657 and 269.12

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Solution

The fourth proportional to 476, 657 and 269.12 is: 371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476 : 657 = 269.12 : x
  2. Step 2: Convert to fraction form
    476/657 = 269.12/x
  3. Step 3: Cross multiply
    476x = 657 × 269.12
  4. Step 4: Simplify right side
    476x = 176,811.84
  5. Step 5: Solve for x
    x = 176,811.84/476
  6. Step 6: Final answer
    x = 371.45

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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.