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Finding the Fourth Proportional to 707.20, 976.34 and 471.48

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Solution

The fourth proportional to 707.20, 976.34 and 471.48 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.20 : 976.34 = 471.48 : x
  2. Step 2: Convert to fraction form
    707.20/976.34 = 471.48/x
  3. Step 3: Cross multiply
    707.20x = 976.34 × 471.48
  4. Step 4: Simplify right side
    707.20x = 460,324.78
  5. Step 5: Solve for x
    x = 460,324.78/707.20
  6. Step 6: Final answer
    x = 650.91

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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.