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Finding the Fourth Proportional to 624.39, 937.04 and 470.75

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Solution

The fourth proportional to 624.39, 937.04 and 470.75 is: 706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.39 : 937.04 = 470.75 : x
  2. Step 2: Convert to fraction form
    624.39/937.04 = 470.75/x
  3. Step 3: Cross multiply
    624.39x = 937.04 × 470.75
  4. Step 4: Simplify right side
    624.39x = 441,104.54
  5. Step 5: Solve for x
    x = 441,104.54/624.39
  6. Step 6: Final answer
    x = 706.46

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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.