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Finding the Fourth Proportional to 358.73, 537.13 and 309.83

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Solution

The fourth proportional to 358.73, 537.13 and 309.83 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.73 : 537.13 = 309.83 : x
  2. Step 2: Convert to fraction form
    358.73/537.13 = 309.83/x
  3. Step 3: Cross multiply
    358.73x = 537.13 × 309.83
  4. Step 4: Simplify right side
    358.73x = 166,416.69
  5. Step 5: Solve for x
    x = 166,416.69/358.73
  6. Step 6: Final answer
    x = 463.91

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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.