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Finding the Fourth Proportional to 475.98, 656.54 and 299.04

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Solution

The fourth proportional to 475.98, 656.54 and 299.04 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 656.54 = 299.04 : x
  2. Step 2: Convert to fraction form
    475.98/656.54 = 299.04/x
  3. Step 3: Cross multiply
    475.98x = 656.54 × 299.04
  4. Step 4: Simplify right side
    475.98x = 196,331.72
  5. Step 5: Solve for x
    x = 196,331.72/475.98
  6. Step 6: Final answer
    x = 412.48

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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.