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Finding the Fourth Proportional to 475.83, 656.49 and 265.97

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Solution

The fourth proportional to 475.83, 656.49 and 265.97 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 656.49 = 265.97 : x
  2. Step 2: Convert to fraction form
    475.83/656.49 = 265.97/x
  3. Step 3: Cross multiply
    475.83x = 656.49 × 265.97
  4. Step 4: Simplify right side
    475.83x = 174,606.65
  5. Step 5: Solve for x
    x = 174,606.65/475.83
  6. Step 6: Final answer
    x = 366.95

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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.