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Finding the Fourth Proportional to 561.72, 773.91 and 467.94

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Solution

The fourth proportional to 561.72, 773.91 and 467.94 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 773.91 = 467.94 : x
  2. Step 2: Convert to fraction form
    561.72/773.91 = 467.94/x
  3. Step 3: Cross multiply
    561.72x = 773.91 × 467.94
  4. Step 4: Simplify right side
    561.72x = 362,143.45
  5. Step 5: Solve for x
    x = 362,143.45/561.72
  6. Step 6: Final answer
    x = 644.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.