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Finding the Fourth Proportional to 707.26, 976.41 and 471.53

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Solution

The fourth proportional to 707.26, 976.41 and 471.53 is: 650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 976.41 = 471.53 : x
  2. Step 2: Convert to fraction form
    707.26/976.41 = 471.53/x
  3. Step 3: Cross multiply
    707.26x = 976.41 × 471.53
  4. Step 4: Simplify right side
    707.26x = 460,401.73
  5. Step 5: Solve for x
    x = 460,401.73/707.26
  6. Step 6: Final answer
    x = 650.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.