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Finding the Fourth Proportional to 564.34, 778.89 and 409.54

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Solution

The fourth proportional to 564.34, 778.89 and 409.54 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 778.89 = 409.54 : x
  2. Step 2: Convert to fraction form
    564.34/778.89 = 409.54/x
  3. Step 3: Cross multiply
    564.34x = 778.89 × 409.54
  4. Step 4: Simplify right side
    564.34x = 318,986.61
  5. Step 5: Solve for x
    x = 318,986.61/564.34
  6. Step 6: Final answer
    x = 565.24

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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.