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Finding the Fourth Proportional to 303.59, 455.48 and 201.28

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Solution

The fourth proportional to 303.59, 455.48 and 201.28 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.59 : 455.48 = 201.28 : x
  2. Step 2: Convert to fraction form
    303.59/455.48 = 201.28/x
  3. Step 3: Cross multiply
    303.59x = 455.48 × 201.28
  4. Step 4: Simplify right side
    303.59x = 91,678.38
  5. Step 5: Solve for x
    x = 91,678.38/303.59
  6. Step 6: Final answer
    x = 301.98

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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.