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Finding the Fourth Proportional to 475.82, 712.90 and 366.02

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Solution

The fourth proportional to 475.82, 712.90 and 366.02 is: 548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.82 : 712.90 = 366.02 : x
  2. Step 2: Convert to fraction form
    475.82/712.90 = 366.02/x
  3. Step 3: Cross multiply
    475.82x = 712.90 × 366.02
  4. Step 4: Simplify right side
    475.82x = 260,935.22
  5. Step 5: Solve for x
    x = 260,935.22/475.82
  6. Step 6: Final answer
    x = 548.39

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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.