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Finding the Fourth Proportional to 492.97, 735.29 and 464.42

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Solution

The fourth proportional to 492.97, 735.29 and 464.42 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.97 : 735.29 = 464.42 : x
  2. Step 2: Convert to fraction form
    492.97/735.29 = 464.42/x
  3. Step 3: Cross multiply
    492.97x = 735.29 × 464.42
  4. Step 4: Simplify right side
    492.97x = 341,483.38
  5. Step 5: Solve for x
    x = 341,483.38/492.97
  6. Step 6: Final answer
    x = 692.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.