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Finding the Fourth Proportional to 633.27, 874.60 and 564.57

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Solution

The fourth proportional to 633.27, 874.60 and 564.57 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.27 : 874.60 = 564.57 : x
  2. Step 2: Convert to fraction form
    633.27/874.60 = 564.57/x
  3. Step 3: Cross multiply
    633.27x = 874.60 × 564.57
  4. Step 4: Simplify right side
    633.27x = 493,771.51
  5. Step 5: Solve for x
    x = 493,771.51/633.27
  6. Step 6: Final answer
    x = 779.72

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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.