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Finding the Fourth Proportional to 475.57, 655.50 and 364.83

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Solution

The fourth proportional to 475.57, 655.50 and 364.83 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.57 : 655.50 = 364.83 : x
  2. Step 2: Convert to fraction form
    475.57/655.50 = 364.83/x
  3. Step 3: Cross multiply
    475.57x = 655.50 × 364.83
  4. Step 4: Simplify right side
    475.57x = 239,146.07
  5. Step 5: Solve for x
    x = 239,146.07/475.57
  6. Step 6: Final answer
    x = 502.86

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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.