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Finding the Fourth Proportional to 492.07, 737.08 and 232.29

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Solution

The fourth proportional to 492.07, 737.08 and 232.29 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.07 : 737.08 = 232.29 : x
  2. Step 2: Convert to fraction form
    492.07/737.08 = 232.29/x
  3. Step 3: Cross multiply
    492.07x = 737.08 × 232.29
  4. Step 4: Simplify right side
    492.07x = 171,216.31
  5. Step 5: Solve for x
    x = 171,216.31/492.07
  6. Step 6: Final answer
    x = 347.95

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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.