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Finding the Fourth Proportional to 424.63, 637.35 and 262.63

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Solution

The fourth proportional to 424.63, 637.35 and 262.63 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.63 : 637.35 = 262.63 : x
  2. Step 2: Convert to fraction form
    424.63/637.35 = 262.63/x
  3. Step 3: Cross multiply
    424.63x = 637.35 × 262.63
  4. Step 4: Simplify right side
    424.63x = 167,387.23
  5. Step 5: Solve for x
    x = 167,387.23/424.63
  6. Step 6: Final answer
    x = 394.20

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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.