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Finding the Fourth Proportional to 486.45, 728.83 and 348.82

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Solution

The fourth proportional to 486.45, 728.83 and 348.82 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.45 : 728.83 = 348.82 : x
  2. Step 2: Convert to fraction form
    486.45/728.83 = 348.82/x
  3. Step 3: Cross multiply
    486.45x = 728.83 × 348.82
  4. Step 4: Simplify right side
    486.45x = 254,230.48
  5. Step 5: Solve for x
    x = 254,230.48/486.45
  6. Step 6: Final answer
    x = 522.62

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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.