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Finding the Fourth Proportional to 561.88, 774.66 and 444.16

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Solution

The fourth proportional to 561.88, 774.66 and 444.16 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.88 : 774.66 = 444.16 : x
  2. Step 2: Convert to fraction form
    561.88/774.66 = 444.16/x
  3. Step 3: Cross multiply
    561.88x = 774.66 × 444.16
  4. Step 4: Simplify right side
    561.88x = 344,072.99
  5. Step 5: Solve for x
    x = 344,072.99/561.88
  6. Step 6: Final answer
    x = 612.36

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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.