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Finding the Fourth Proportional to 420.40, 630.58 and 131.84

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Solution

The fourth proportional to 420.40, 630.58 and 131.84 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.40 : 630.58 = 131.84 : x
  2. Step 2: Convert to fraction form
    420.40/630.58 = 131.84/x
  3. Step 3: Cross multiply
    420.40x = 630.58 × 131.84
  4. Step 4: Simplify right side
    420.40x = 83,135.67
  5. Step 5: Solve for x
    x = 83,135.67/420.40
  6. Step 6: Final answer
    x = 197.75

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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.