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Finding the Fourth Proportional to 421.57, 632.07 and 201.89

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Solution

The fourth proportional to 421.57, 632.07 and 201.89 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.57 : 632.07 = 201.89 : x
  2. Step 2: Convert to fraction form
    421.57/632.07 = 201.89/x
  3. Step 3: Cross multiply
    421.57x = 632.07 × 201.89
  4. Step 4: Simplify right side
    421.57x = 127,610.19
  5. Step 5: Solve for x
    x = 127,610.19/421.57
  6. Step 6: Final answer
    x = 302.70

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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.