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Finding the Fourth Proportional to 475.80, 712.64 and 411.72

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Solution

The fourth proportional to 475.80, 712.64 and 411.72 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 712.64 = 411.72 : x
  2. Step 2: Convert to fraction form
    475.80/712.64 = 411.72/x
  3. Step 3: Cross multiply
    475.80x = 712.64 × 411.72
  4. Step 4: Simplify right side
    475.80x = 293,408.14
  5. Step 5: Solve for x
    x = 293,408.14/475.80
  6. Step 6: Final answer
    x = 616.66

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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.