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Finding the Fourth Proportional to 564.98, 779.70 and 316.34

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Solution

The fourth proportional to 564.98, 779.70 and 316.34 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 779.70 = 316.34 : x
  2. Step 2: Convert to fraction form
    564.98/779.70 = 316.34/x
  3. Step 3: Cross multiply
    564.98x = 779.70 × 316.34
  4. Step 4: Simplify right side
    564.98x = 246,650.30
  5. Step 5: Solve for x
    x = 246,650.30/564.98
  6. Step 6: Final answer
    x = 436.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.