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Finding the Fourth Proportional to 423.34, 629.95 and 421.90

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Solution

The fourth proportional to 423.34, 629.95 and 421.90 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.34 : 629.95 = 421.90 : x
  2. Step 2: Convert to fraction form
    423.34/629.95 = 421.90/x
  3. Step 3: Cross multiply
    423.34x = 629.95 × 421.90
  4. Step 4: Simplify right side
    423.34x = 265,773.80
  5. Step 5: Solve for x
    x = 265,773.80/423.34
  6. Step 6: Final answer
    x = 627.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.