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Finding the Fourth Proportional to 462.24, 637.97 and 287.60

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Solution

The fourth proportional to 462.24, 637.97 and 287.60 is: 396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 637.97 = 287.60 : x
  2. Step 2: Convert to fraction form
    462.24/637.97 = 287.60/x
  3. Step 3: Cross multiply
    462.24x = 637.97 × 287.60
  4. Step 4: Simplify right side
    462.24x = 183,475.54
  5. Step 5: Solve for x
    x = 183,475.54/462.24
  6. Step 6: Final answer
    x = 396.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.