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Finding the Fourth Proportional to 561.85, 842.52 and 301.81

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Solution

The fourth proportional to 561.85, 842.52 and 301.81 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 842.52 = 301.81 : x
  2. Step 2: Convert to fraction form
    561.85/842.52 = 301.81/x
  3. Step 3: Cross multiply
    561.85x = 842.52 × 301.81
  4. Step 4: Simplify right side
    561.85x = 254,280.96
  5. Step 5: Solve for x
    x = 254,280.96/561.85
  6. Step 6: Final answer
    x = 452.58

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