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Finding the Fourth Proportional to 885.92, 1,329.14 and 365.95

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Solution

The fourth proportional to 885.92, 1,329.14 and 365.95 is: 549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.92 : 1,329.14 = 365.95 : x
  2. Step 2: Convert to fraction form
    885.92/1,329.14 = 365.95/x
  3. Step 3: Cross multiply
    885.92x = 1,329.14 × 365.95
  4. Step 4: Simplify right side
    885.92x = 486,400.59
  5. Step 5: Solve for x
    x = 486,400.59/885.92
  6. Step 6: Final answer
    x = 549.03

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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.