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Finding the Fourth Proportional to 564.89, 779.61 and 316.22

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Solution

The fourth proportional to 564.89, 779.61 and 316.22 is: 436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 779.61 = 316.22 : x
  2. Step 2: Convert to fraction form
    564.89/779.61 = 316.22/x
  3. Step 3: Cross multiply
    564.89x = 779.61 × 316.22
  4. Step 4: Simplify right side
    564.89x = 246,528.27
  5. Step 5: Solve for x
    x = 246,528.27/564.89
  6. Step 6: Final answer
    x = 436.42

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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.