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Finding the Fourth Proportional to 424.84, 637.16 and 193.68

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Solution

The fourth proportional to 424.84, 637.16 and 193.68 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 637.16 = 193.68 : x
  2. Step 2: Convert to fraction form
    424.84/637.16 = 193.68/x
  3. Step 3: Cross multiply
    424.84x = 637.16 × 193.68
  4. Step 4: Simplify right side
    424.84x = 123,405.15
  5. Step 5: Solve for x
    x = 123,405.15/424.84
  6. Step 6: Final answer
    x = 290.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.