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Finding the Fourth Proportional to 937.46, 1,405.03 and 416.73

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Solution

The fourth proportional to 937.46, 1,405.03 and 416.73 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.46 : 1,405.03 = 416.73 : x
  2. Step 2: Convert to fraction form
    937.46/1,405.03 = 416.73/x
  3. Step 3: Cross multiply
    937.46x = 1,405.03 × 416.73
  4. Step 4: Simplify right side
    937.46x = 585,518.15
  5. Step 5: Solve for x
    x = 585,518.15/937.46
  6. Step 6: Final answer
    x = 624.58

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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.