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Finding the Fourth Proportional to 625.82, 937.99 and 471.24

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Solution

The fourth proportional to 625.82, 937.99 and 471.24 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 937.99 = 471.24 : x
  2. Step 2: Convert to fraction form
    625.82/937.99 = 471.24/x
  3. Step 3: Cross multiply
    625.82x = 937.99 × 471.24
  4. Step 4: Simplify right side
    625.82x = 442,022.51
  5. Step 5: Solve for x
    x = 442,022.51/625.82
  6. Step 6: Final answer
    x = 706.31

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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.