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Finding the Fourth Proportional to 560, 772.78 and 311.33

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Solution

The fourth proportional to 560, 772.78 and 311.33 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 772.78 = 311.33 : x
  2. Step 2: Convert to fraction form
    560/772.78 = 311.33/x
  3. Step 3: Cross multiply
    560x = 772.78 × 311.33
  4. Step 4: Simplify right side
    560x = 240,589.60
  5. Step 5: Solve for x
    x = 240,589.60/560
  6. Step 6: Final answer
    x = 429.62

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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.