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Finding the Fourth Proportional to 421.01, 632.02 and 344.46

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Solution

The fourth proportional to 421.01, 632.02 and 344.46 is: 517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.01 : 632.02 = 344.46 : x
  2. Step 2: Convert to fraction form
    421.01/632.02 = 344.46/x
  3. Step 3: Cross multiply
    421.01x = 632.02 × 344.46
  4. Step 4: Simplify right side
    421.01x = 217,705.61
  5. Step 5: Solve for x
    x = 217,705.61/421.01
  6. Step 6: Final answer
    x = 517.10

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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.