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Finding the Fourth Proportional to 492.29, 737.20 and 466.77

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Solution

The fourth proportional to 492.29, 737.20 and 466.77 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.29 : 737.20 = 466.77 : x
  2. Step 2: Convert to fraction form
    492.29/737.20 = 466.77/x
  3. Step 3: Cross multiply
    492.29x = 737.20 × 466.77
  4. Step 4: Simplify right side
    492.29x = 344,102.84
  5. Step 5: Solve for x
    x = 344,102.84/492.29
  6. Step 6: Final answer
    x = 698.98

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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.