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Finding the Fourth Proportional to 566.99, 782.20 and 330.92

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Solution

The fourth proportional to 566.99, 782.20 and 330.92 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 782.20 = 330.92 : x
  2. Step 2: Convert to fraction form
    566.99/782.20 = 330.92/x
  3. Step 3: Cross multiply
    566.99x = 782.20 × 330.92
  4. Step 4: Simplify right side
    566.99x = 258,845.62
  5. Step 5: Solve for x
    x = 258,845.62/566.99
  6. Step 6: Final answer
    x = 456.53

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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.