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Finding the Fourth Proportional to 564.24, 778.39 and 365.02

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Solution

The fourth proportional to 564.24, 778.39 and 365.02 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 778.39 = 365.02 : x
  2. Step 2: Convert to fraction form
    564.24/778.39 = 365.02/x
  3. Step 3: Cross multiply
    564.24x = 778.39 × 365.02
  4. Step 4: Simplify right side
    564.24x = 284,127.92
  5. Step 5: Solve for x
    x = 284,127.92/564.24
  6. Step 6: Final answer
    x = 503.56

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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.