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Finding the Fourth Proportional to 560.09, 773.03 and 339.23

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Solution

The fourth proportional to 560.09, 773.03 and 339.23 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.09 : 773.03 = 339.23 : x
  2. Step 2: Convert to fraction form
    560.09/773.03 = 339.23/x
  3. Step 3: Cross multiply
    560.09x = 773.03 × 339.23
  4. Step 4: Simplify right side
    560.09x = 262,234.97
  5. Step 5: Solve for x
    x = 262,234.97/560.09
  6. Step 6: Final answer
    x = 468.20

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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.