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Finding the Fourth Proportional to 564.66, 778.80 and 365.52

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Solution

The fourth proportional to 564.66, 778.80 and 365.52 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 778.80 = 365.52 : x
  2. Step 2: Convert to fraction form
    564.66/778.80 = 365.52/x
  3. Step 3: Cross multiply
    564.66x = 778.80 × 365.52
  4. Step 4: Simplify right side
    564.66x = 284,666.98
  5. Step 5: Solve for x
    x = 284,666.98/564.66
  6. Step 6: Final answer
    x = 504.14

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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.