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Finding the Fourth Proportional to 475.86, 713.24 and 201.54

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Solution

The fourth proportional to 475.86, 713.24 and 201.54 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.86 : 713.24 = 201.54 : x
  2. Step 2: Convert to fraction form
    475.86/713.24 = 201.54/x
  3. Step 3: Cross multiply
    475.86x = 713.24 × 201.54
  4. Step 4: Simplify right side
    475.86x = 143,746.39
  5. Step 5: Solve for x
    x = 143,746.39/475.86
  6. Step 6: Final answer
    x = 302.08

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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.