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Finding the Fourth Proportional to 464.87, 696.95 and 282.23

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Solution

The fourth proportional to 464.87, 696.95 and 282.23 is: 423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 696.95 = 282.23 : x
  2. Step 2: Convert to fraction form
    464.87/696.95 = 282.23/x
  3. Step 3: Cross multiply
    464.87x = 696.95 × 282.23
  4. Step 4: Simplify right side
    464.87x = 196,695.30
  5. Step 5: Solve for x
    x = 196,695.30/464.87
  6. Step 6: Final answer
    x = 423.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.