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Finding the Fourth Proportional to 624.69, 936.51 and 470.31

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Solution

The fourth proportional to 624.69, 936.51 and 470.31 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.69 : 936.51 = 470.31 : x
  2. Step 2: Convert to fraction form
    624.69/936.51 = 470.31/x
  3. Step 3: Cross multiply
    624.69x = 936.51 × 470.31
  4. Step 4: Simplify right side
    624.69x = 440,450.02
  5. Step 5: Solve for x
    x = 440,450.02/624.69
  6. Step 6: Final answer
    x = 705.07

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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.