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Finding the Fourth Proportional to 885.74, 1,328.25 and 365.82

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Solution

The fourth proportional to 885.74, 1,328.25 and 365.82 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.74 : 1,328.25 = 365.82 : x
  2. Step 2: Convert to fraction form
    885.74/1,328.25 = 365.82/x
  3. Step 3: Cross multiply
    885.74x = 1,328.25 × 365.82
  4. Step 4: Simplify right side
    885.74x = 485,901.79
  5. Step 5: Solve for x
    x = 485,901.79/885.74
  6. Step 6: Final answer
    x = 548.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.