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Finding the Fourth Proportional to 885.11, 1,326.52 and 364.53

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Solution

The fourth proportional to 885.11, 1,326.52 and 364.53 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.11 : 1,326.52 = 364.53 : x
  2. Step 2: Convert to fraction form
    885.11/1,326.52 = 364.53/x
  3. Step 3: Cross multiply
    885.11x = 1,326.52 × 364.53
  4. Step 4: Simplify right side
    885.11x = 483,556.34
  5. Step 5: Solve for x
    x = 483,556.34/885.11
  6. Step 6: Final answer
    x = 546.32

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Why These Related Problems?

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