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Finding the Fourth Proportional to 488.00, 731.73 and 334.10

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Solution

The fourth proportional to 488.00, 731.73 and 334.10 is: 500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.00 : 731.73 = 334.10 : x
  2. Step 2: Convert to fraction form
    488.00/731.73 = 334.10/x
  3. Step 3: Cross multiply
    488.00x = 731.73 × 334.10
  4. Step 4: Simplify right side
    488.00x = 244,472.82
  5. Step 5: Solve for x
    x = 244,472.82/488.00
  6. Step 6: Final answer
    x = 500.97

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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.