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Finding the Fourth Proportional to 565.07, 779.17 and 486.30

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Solution

The fourth proportional to 565.07, 779.17 and 486.30 is: 670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.07 : 779.17 = 486.30 : x
  2. Step 2: Convert to fraction form
    565.07/779.17 = 486.30/x
  3. Step 3: Cross multiply
    565.07x = 779.17 × 486.30
  4. Step 4: Simplify right side
    565.07x = 378,910.37
  5. Step 5: Solve for x
    x = 378,910.37/565.07
  6. Step 6: Final answer
    x = 670.55

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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.