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Finding the Fourth Proportional to 566.86, 782.13 and 333.94

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Solution

The fourth proportional to 566.86, 782.13 and 333.94 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 782.13 = 333.94 : x
  2. Step 2: Convert to fraction form
    566.86/782.13 = 333.94/x
  3. Step 3: Cross multiply
    566.86x = 782.13 × 333.94
  4. Step 4: Simplify right side
    566.86x = 261,184.49
  5. Step 5: Solve for x
    x = 261,184.49/566.86
  6. Step 6: Final answer
    x = 460.76

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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.