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Finding the Fourth Proportional to 564.05, 778.62 and 412.87

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Solution

The fourth proportional to 564.05, 778.62 and 412.87 is: 569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 778.62 = 412.87 : x
  2. Step 2: Convert to fraction form
    564.05/778.62 = 412.87/x
  3. Step 3: Cross multiply
    564.05x = 778.62 × 412.87
  4. Step 4: Simplify right side
    564.05x = 321,468.84
  5. Step 5: Solve for x
    x = 321,468.84/564.05
  6. Step 6: Final answer
    x = 569.93

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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.