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Finding the Fourth Proportional to 564.99, 779.67 and 343.86

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Solution

The fourth proportional to 564.99, 779.67 and 343.86 is: 474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.99 : 779.67 = 343.86 : x
  2. Step 2: Convert to fraction form
    564.99/779.67 = 343.86/x
  3. Step 3: Cross multiply
    564.99x = 779.67 × 343.86
  4. Step 4: Simplify right side
    564.99x = 268,097.33
  5. Step 5: Solve for x
    x = 268,097.33/564.99
  6. Step 6: Final answer
    x = 474.52

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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.