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Finding the Fourth Proportional to 561.83, 774.90 and 395.87

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Solution

The fourth proportional to 561.83, 774.90 and 395.87 is: 546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.83 : 774.90 = 395.87 : x
  2. Step 2: Convert to fraction form
    561.83/774.90 = 395.87/x
  3. Step 3: Cross multiply
    561.83x = 774.90 × 395.87
  4. Step 4: Simplify right side
    561.83x = 306,755.79
  5. Step 5: Solve for x
    x = 306,755.79/561.83
  6. Step 6: Final answer
    x = 546.00

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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.