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Finding the Fourth Proportional to 492.51, 737.91 and 411.24

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Solution

The fourth proportional to 492.51, 737.91 and 411.24 is: 616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.51 : 737.91 = 411.24 : x
  2. Step 2: Convert to fraction form
    492.51/737.91 = 411.24/x
  3. Step 3: Cross multiply
    492.51x = 737.91 × 411.24
  4. Step 4: Simplify right side
    492.51x = 303,458.11
  5. Step 5: Solve for x
    x = 303,458.11/492.51
  6. Step 6: Final answer
    x = 616.15

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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.