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Finding the Fourth Proportional to 560.66, 773.75 and 339.63

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Solution

The fourth proportional to 560.66, 773.75 and 339.63 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.66 : 773.75 = 339.63 : x
  2. Step 2: Convert to fraction form
    560.66/773.75 = 339.63/x
  3. Step 3: Cross multiply
    560.66x = 773.75 × 339.63
  4. Step 4: Simplify right side
    560.66x = 262,789.56
  5. Step 5: Solve for x
    x = 262,789.56/560.66
  6. Step 6: Final answer
    x = 468.72

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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.