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Finding the Fourth Proportional to 862.77, 1,293.68 and 369.55

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Solution

The fourth proportional to 862.77, 1,293.68 and 369.55 is: 554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.77 : 1,293.68 = 369.55 : x
  2. Step 2: Convert to fraction form
    862.77/1,293.68 = 369.55/x
  3. Step 3: Cross multiply
    862.77x = 1,293.68 × 369.55
  4. Step 4: Simplify right side
    862.77x = 478,077.13
  5. Step 5: Solve for x
    x = 478,077.13/862.77
  6. Step 6: Final answer
    x = 554.12

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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.