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Finding the Fourth Proportional to 475.83, 656.61 and 265.99

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Solution

The fourth proportional to 475.83, 656.61 and 265.99 is: 367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 656.61 = 265.99 : x
  2. Step 2: Convert to fraction form
    475.83/656.61 = 265.99/x
  3. Step 3: Cross multiply
    475.83x = 656.61 × 265.99
  4. Step 4: Simplify right side
    475.83x = 174,650.36
  5. Step 5: Solve for x
    x = 174,650.36/475.83
  6. Step 6: Final answer
    x = 367.04

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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.