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Finding the Fourth Proportional to 564.78, 779.36 and 312.71

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Solution

The fourth proportional to 564.78, 779.36 and 312.71 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 779.36 = 312.71 : x
  2. Step 2: Convert to fraction form
    564.78/779.36 = 312.71/x
  3. Step 3: Cross multiply
    564.78x = 779.36 × 312.71
  4. Step 4: Simplify right side
    564.78x = 243,708.21
  5. Step 5: Solve for x
    x = 243,708.21/564.78
  6. Step 6: Final answer
    x = 431.51

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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.