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Finding the Fourth Proportional to 561.80, 775.32 and 365.84

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Solution

The fourth proportional to 561.80, 775.32 and 365.84 is: 504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.80 : 775.32 = 365.84 : x
  2. Step 2: Convert to fraction form
    561.80/775.32 = 365.84/x
  3. Step 3: Cross multiply
    561.80x = 775.32 × 365.84
  4. Step 4: Simplify right side
    561.80x = 283,643.07
  5. Step 5: Solve for x
    x = 283,643.07/561.80
  6. Step 6: Final answer
    x = 504.88

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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.