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Finding the Fourth Proportional to 475.78, 711.72 and 409.82

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Solution

The fourth proportional to 475.78, 711.72 and 409.82 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.78 : 711.72 = 409.82 : x
  2. Step 2: Convert to fraction form
    475.78/711.72 = 409.82/x
  3. Step 3: Cross multiply
    475.78x = 711.72 × 409.82
  4. Step 4: Simplify right side
    475.78x = 291,677.09
  5. Step 5: Solve for x
    x = 291,677.09/475.78
  6. Step 6: Final answer
    x = 613.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.