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Finding the Fourth Proportional to 313.02, 468.84 and 236.04

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Solution

The fourth proportional to 313.02, 468.84 and 236.04 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 468.84 = 236.04 : x
  2. Step 2: Convert to fraction form
    313.02/468.84 = 236.04/x
  3. Step 3: Cross multiply
    313.02x = 468.84 × 236.04
  4. Step 4: Simplify right side
    313.02x = 110,664.99
  5. Step 5: Solve for x
    x = 110,664.99/313.02
  6. Step 6: Final answer
    x = 353.54

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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.