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Finding the Fourth Proportional to 560.70, 773.84 and 339.65

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Solution

The fourth proportional to 560.70, 773.84 and 339.65 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.70 : 773.84 = 339.65 : x
  2. Step 2: Convert to fraction form
    560.70/773.84 = 339.65/x
  3. Step 3: Cross multiply
    560.70x = 773.84 × 339.65
  4. Step 4: Simplify right side
    560.70x = 262,834.45
  5. Step 5: Solve for x
    x = 262,834.45/560.70
  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.