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Finding the Fourth Proportional to 564.82, 779.47 and 312.74

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Solution

The fourth proportional to 564.82, 779.47 and 312.74 is: 431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 779.47 = 312.74 : x
  2. Step 2: Convert to fraction form
    564.82/779.47 = 312.74/x
  3. Step 3: Cross multiply
    564.82x = 779.47 × 312.74
  4. Step 4: Simplify right side
    564.82x = 243,766.77
  5. Step 5: Solve for x
    x = 243,766.77/564.82
  6. Step 6: Final answer
    x = 431.59

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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.