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Finding the Fourth Proportional to 564.38, 778.93 and 409.40

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Solution

The fourth proportional to 564.38, 778.93 and 409.40 is: 565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 778.93 = 409.40 : x
  2. Step 2: Convert to fraction form
    564.38/778.93 = 409.40/x
  3. Step 3: Cross multiply
    564.38x = 778.93 × 409.40
  4. Step 4: Simplify right side
    564.38x = 318,889.02
  5. Step 5: Solve for x
    x = 318,889.02/564.38
  6. Step 6: Final answer
    x = 565.03

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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.