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Finding the Fourth Proportional to 421.37, 632.06 and 202.02

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Solution

The fourth proportional to 421.37, 632.06 and 202.02 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.37 : 632.06 = 202.02 : x
  2. Step 2: Convert to fraction form
    421.37/632.06 = 202.02/x
  3. Step 3: Cross multiply
    421.37x = 632.06 × 202.02
  4. Step 4: Simplify right side
    421.37x = 127,688.76
  5. Step 5: Solve for x
    x = 127,688.76/421.37
  6. Step 6: Final answer
    x = 303.03

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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.