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Finding the Fourth Proportional to 492.30, 737.67 and 286.92

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Solution

The fourth proportional to 492.30, 737.67 and 286.92 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 737.67 = 286.92 : x
  2. Step 2: Convert to fraction form
    492.30/737.67 = 286.92/x
  3. Step 3: Cross multiply
    492.30x = 737.67 × 286.92
  4. Step 4: Simplify right side
    492.30x = 211,652.28
  5. Step 5: Solve for x
    x = 211,652.28/492.30
  6. Step 6: Final answer
    x = 429.93

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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.