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Finding the Fourth Proportional to 564.68, 778.72 and 408.35

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Solution

The fourth proportional to 564.68, 778.72 and 408.35 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 778.72 = 408.35 : x
  2. Step 2: Convert to fraction form
    564.68/778.72 = 408.35/x
  3. Step 3: Cross multiply
    564.68x = 778.72 × 408.35
  4. Step 4: Simplify right side
    564.68x = 317,984.38
  5. Step 5: Solve for x
    x = 317,984.38/564.68
  6. Step 6: Final answer
    x = 563.13

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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.