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Finding the Fourth Proportional to 564.09, 777.73 and 364.58

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Solution

The fourth proportional to 564.09, 777.73 and 364.58 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 777.73 = 364.58 : x
  2. Step 2: Convert to fraction form
    564.09/777.73 = 364.58/x
  3. Step 3: Cross multiply
    564.09x = 777.73 × 364.58
  4. Step 4: Simplify right side
    564.09x = 283,542.98
  5. Step 5: Solve for x
    x = 283,542.98/564.09
  6. Step 6: Final answer
    x = 502.66

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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.