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Finding the Fourth Proportional to 564.58, 845.93 and 543.25

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Solution

The fourth proportional to 564.58, 845.93 and 543.25 is: 813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.58 : 845.93 = 543.25 : x
  2. Step 2: Convert to fraction form
    564.58/845.93 = 543.25/x
  3. Step 3: Cross multiply
    564.58x = 845.93 × 543.25
  4. Step 4: Simplify right side
    564.58x = 459,544.53
  5. Step 5: Solve for x
    x = 459,544.53/564.58
  6. Step 6: Final answer
    x = 813.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.