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Finding the Fourth Proportional to 561.84, 774.96 and 365.46

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Solution

The fourth proportional to 561.84, 774.96 and 365.46 is: 504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 774.96 = 365.46 : x
  2. Step 2: Convert to fraction form
    561.84/774.96 = 365.46/x
  3. Step 3: Cross multiply
    561.84x = 774.96 × 365.46
  4. Step 4: Simplify right side
    561.84x = 283,216.88
  5. Step 5: Solve for x
    x = 283,216.88/561.84
  6. Step 6: Final answer
    x = 504.09

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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.