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Finding the Fourth Proportional to 424.53, 637.05 and 193.42

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Solution

The fourth proportional to 424.53, 637.05 and 193.42 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.53 : 637.05 = 193.42 : x
  2. Step 2: Convert to fraction form
    424.53/637.05 = 193.42/x
  3. Step 3: Cross multiply
    424.53x = 637.05 × 193.42
  4. Step 4: Simplify right side
    424.53x = 123,218.21
  5. Step 5: Solve for x
    x = 123,218.21/424.53
  6. Step 6: Final answer
    x = 290.25

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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.