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Finding the Fourth Proportional to 561.26, 841.32 and 378.68

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Solution

The fourth proportional to 561.26, 841.32 and 378.68 is: 567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.26 : 841.32 = 378.68 : x
  2. Step 2: Convert to fraction form
    561.26/841.32 = 378.68/x
  3. Step 3: Cross multiply
    561.26x = 841.32 × 378.68
  4. Step 4: Simplify right side
    561.26x = 318,586.85
  5. Step 5: Solve for x
    x = 318,586.85/561.26
  6. Step 6: Final answer
    x = 567.63

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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.