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Finding the Fourth Proportional to 633.29, 874.58 and 564.53

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Solution

The fourth proportional to 633.29, 874.58 and 564.53 is: 779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.29 : 874.58 = 564.53 : x
  2. Step 2: Convert to fraction form
    633.29/874.58 = 564.53/x
  3. Step 3: Cross multiply
    633.29x = 874.58 × 564.53
  4. Step 4: Simplify right side
    633.29x = 493,719.45
  5. Step 5: Solve for x
    x = 493,719.45/633.29
  6. Step 6: Final answer
    x = 779.62

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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.