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Finding the Fourth Proportional to 382.02, 527.37 and 298.98

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Solution

The fourth proportional to 382.02, 527.37 and 298.98 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 527.37 = 298.98 : x
  2. Step 2: Convert to fraction form
    382.02/527.37 = 298.98/x
  3. Step 3: Cross multiply
    382.02x = 527.37 × 298.98
  4. Step 4: Simplify right side
    382.02x = 157,673.08
  5. Step 5: Solve for x
    x = 157,673.08/382.02
  6. Step 6: Final answer
    x = 412.74

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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.