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Finding the Fourth Proportional to 421.16, 631.20 and 201.74

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Solution

The fourth proportional to 421.16, 631.20 and 201.74 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 631.20 = 201.74 : x
  2. Step 2: Convert to fraction form
    421.16/631.20 = 201.74/x
  3. Step 3: Cross multiply
    421.16x = 631.20 × 201.74
  4. Step 4: Simplify right side
    421.16x = 127,338.29
  5. Step 5: Solve for x
    x = 127,338.29/421.16
  6. Step 6: Final answer
    x = 302.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.