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Finding the Fourth Proportional to 564.94, 779.96 and 369.01

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Solution

The fourth proportional to 564.94, 779.96 and 369.01 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.94 : 779.96 = 369.01 : x
  2. Step 2: Convert to fraction form
    564.94/779.96 = 369.01/x
  3. Step 3: Cross multiply
    564.94x = 779.96 × 369.01
  4. Step 4: Simplify right side
    564.94x = 287,813.04
  5. Step 5: Solve for x
    x = 287,813.04/564.94
  6. Step 6: Final answer
    x = 509.46

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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.