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Finding the Fourth Proportional to 475.91, 656.82 and 279.50

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Solution

The fourth proportional to 475.91, 656.82 and 279.50 is: 385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.91 : 656.82 = 279.50 : x
  2. Step 2: Convert to fraction form
    475.91/656.82 = 279.50/x
  3. Step 3: Cross multiply
    475.91x = 656.82 × 279.50
  4. Step 4: Simplify right side
    475.91x = 183,581.19
  5. Step 5: Solve for x
    x = 183,581.19/475.91
  6. Step 6: Final answer
    x = 385.75

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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.