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Finding the Fourth Proportional to 564.72, 779.81 and 546.36

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Solution

The fourth proportional to 564.72, 779.81 and 546.36 is: 754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 779.81 = 546.36 : x
  2. Step 2: Convert to fraction form
    564.72/779.81 = 546.36/x
  3. Step 3: Cross multiply
    564.72x = 779.81 × 546.36
  4. Step 4: Simplify right side
    564.72x = 426,054.26
  5. Step 5: Solve for x
    x = 426,054.26/564.72
  6. Step 6: Final answer
    x = 754.45

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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.