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Finding the Fourth Proportional to 381.30, 572.00 and 300.02

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Solution

The fourth proportional to 381.30, 572.00 and 300.02 is: 450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 572.00 = 300.02 : x
  2. Step 2: Convert to fraction form
    381.30/572.00 = 300.02/x
  3. Step 3: Cross multiply
    381.30x = 572.00 × 300.02
  4. Step 4: Simplify right side
    381.30x = 171,607.08
  5. Step 5: Solve for x
    x = 171,607.08/381.30
  6. Step 6: Final answer
    x = 450.06

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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.