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Finding the Fourth Proportional to 566.02, 779.07 and 482.86

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Solution

The fourth proportional to 566.02, 779.07 and 482.86 is: 664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 779.07 = 482.86 : x
  2. Step 2: Convert to fraction form
    566.02/779.07 = 482.86/x
  3. Step 3: Cross multiply
    566.02x = 779.07 × 482.86
  4. Step 4: Simplify right side
    566.02x = 376,181.74
  5. Step 5: Solve for x
    x = 376,181.74/566.02
  6. Step 6: Final answer
    x = 664.61

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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.