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Finding the Fourth Proportional to 488.13, 730.80 and 255.91

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Solution

The fourth proportional to 488.13, 730.80 and 255.91 is: 383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.13 : 730.80 = 255.91 : x
  2. Step 2: Convert to fraction form
    488.13/730.80 = 255.91/x
  3. Step 3: Cross multiply
    488.13x = 730.80 × 255.91
  4. Step 4: Simplify right side
    488.13x = 187,017.85
  5. Step 5: Solve for x
    x = 187,017.85/488.13
  6. Step 6: Final answer
    x = 383.13

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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.