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Finding the Fourth Proportional to 462.06, 637.74 and 287.82

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Solution

The fourth proportional to 462.06, 637.74 and 287.82 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 637.74 = 287.82 : x
  2. Step 2: Convert to fraction form
    462.06/637.74 = 287.82/x
  3. Step 3: Cross multiply
    462.06x = 637.74 × 287.82
  4. Step 4: Simplify right side
    462.06x = 183,554.33
  5. Step 5: Solve for x
    x = 183,554.33/462.06
  6. Step 6: Final answer
    x = 397.25

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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.