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Finding the Fourth Proportional to 475.72, 656.38 and 357.82

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Solution

The fourth proportional to 475.72, 656.38 and 357.82 is: 493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 656.38 = 357.82 : x
  2. Step 2: Convert to fraction form
    475.72/656.38 = 357.82/x
  3. Step 3: Cross multiply
    475.72x = 656.38 × 357.82
  4. Step 4: Simplify right side
    475.72x = 234,865.89
  5. Step 5: Solve for x
    x = 234,865.89/475.72
  6. Step 6: Final answer
    x = 493.71

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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.