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Finding the Fourth Proportional to 566.48, 781.44 and 539.48

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Solution

The fourth proportional to 566.48, 781.44 and 539.48 is: 744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 781.44 = 539.48 : x
  2. Step 2: Convert to fraction form
    566.48/781.44 = 539.48/x
  3. Step 3: Cross multiply
    566.48x = 781.44 × 539.48
  4. Step 4: Simplify right side
    566.48x = 421,571.25
  5. Step 5: Solve for x
    x = 421,571.25/566.48
  6. Step 6: Final answer
    x = 744.19

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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.