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Finding the Fourth Proportional to 656.29, 905.34 and 532.09

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Solution

The fourth proportional to 656.29, 905.34 and 532.09 is: 734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.29 : 905.34 = 532.09 : x
  2. Step 2: Convert to fraction form
    656.29/905.34 = 532.09/x
  3. Step 3: Cross multiply
    656.29x = 905.34 × 532.09
  4. Step 4: Simplify right side
    656.29x = 481,722.36
  5. Step 5: Solve for x
    x = 481,722.36/656.29
  6. Step 6: Final answer
    x = 734.01

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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.