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Finding the Fourth Proportional to 624.89, 936.77 and 346.83

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Solution

The fourth proportional to 624.89, 936.77 and 346.83 is: 519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 936.77 = 346.83 : x
  2. Step 2: Convert to fraction form
    624.89/936.77 = 346.83/x
  3. Step 3: Cross multiply
    624.89x = 936.77 × 346.83
  4. Step 4: Simplify right side
    624.89x = 324,898.20
  5. Step 5: Solve for x
    x = 324,898.20/624.89
  6. Step 6: Final answer
    x = 519.93

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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.