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Finding the Fourth Proportional to 475.95, 657.44 and 366.79

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Solution

The fourth proportional to 475.95, 657.44 and 366.79 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.95 : 657.44 = 366.79 : x
  2. Step 2: Convert to fraction form
    475.95/657.44 = 366.79/x
  3. Step 3: Cross multiply
    475.95x = 657.44 × 366.79
  4. Step 4: Simplify right side
    475.95x = 241,142.42
  5. Step 5: Solve for x
    x = 241,142.42/475.95
  6. Step 6: Final answer
    x = 506.65

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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.