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Finding the Fourth Proportional to 560.57, 773.68 and 339.64

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Solution

The fourth proportional to 560.57, 773.68 and 339.64 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.57 : 773.68 = 339.64 : x
  2. Step 2: Convert to fraction form
    560.57/773.68 = 339.64/x
  3. Step 3: Cross multiply
    560.57x = 773.68 × 339.64
  4. Step 4: Simplify right side
    560.57x = 262,769.89
  5. Step 5: Solve for x
    x = 262,769.89/560.57
  6. Step 6: Final answer
    x = 468.76

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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.