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Finding the Fourth Proportional to 475.76, 713.78 and 201.84

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Solution

The fourth proportional to 475.76, 713.78 and 201.84 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 713.78 = 201.84 : x
  2. Step 2: Convert to fraction form
    475.76/713.78 = 201.84/x
  3. Step 3: Cross multiply
    475.76x = 713.78 × 201.84
  4. Step 4: Simplify right side
    475.76x = 144,068.35
  5. Step 5: Solve for x
    x = 144,068.35/475.76
  6. Step 6: Final answer
    x = 302.82

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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.