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Finding the Fourth Proportional to 312.99, 468.56 and 175.62

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Solution

The fourth proportional to 312.99, 468.56 and 175.62 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 468.56 = 175.62 : x
  2. Step 2: Convert to fraction form
    312.99/468.56 = 175.62/x
  3. Step 3: Cross multiply
    312.99x = 468.56 × 175.62
  4. Step 4: Simplify right side
    312.99x = 82,287.63
  5. Step 5: Solve for x
    x = 82,287.63/312.99
  6. Step 6: Final answer
    x = 262.91

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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.