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Finding the Fourth Proportional to 421.28, 631.51 and 201.66

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Solution

The fourth proportional to 421.28, 631.51 and 201.66 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.28 : 631.51 = 201.66 : x
  2. Step 2: Convert to fraction form
    421.28/631.51 = 201.66/x
  3. Step 3: Cross multiply
    421.28x = 631.51 × 201.66
  4. Step 4: Simplify right side
    421.28x = 127,346.90
  5. Step 5: Solve for x
    x = 127,346.90/421.28
  6. Step 6: Final answer
    x = 302.28

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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.