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Finding the Fourth Proportional to 624.06, 936.72 and 509.85

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Solution

The fourth proportional to 624.06, 936.72 and 509.85 is: 765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.06 : 936.72 = 509.85 : x
  2. Step 2: Convert to fraction form
    624.06/936.72 = 509.85/x
  3. Step 3: Cross multiply
    624.06x = 936.72 × 509.85
  4. Step 4: Simplify right side
    624.06x = 477,586.69
  5. Step 5: Solve for x
    x = 477,586.69/624.06
  6. Step 6: Final answer
    x = 765.29

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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.