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Finding the Fourth Proportional to 318.23, 439.98 and 313.57

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Solution

The fourth proportional to 318.23, 439.98 and 313.57 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.23 : 439.98 = 313.57 : x
  2. Step 2: Convert to fraction form
    318.23/439.98 = 313.57/x
  3. Step 3: Cross multiply
    318.23x = 439.98 × 313.57
  4. Step 4: Simplify right side
    318.23x = 137,962.33
  5. Step 5: Solve for x
    x = 137,962.33/318.23
  6. Step 6: Final answer
    x = 433.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.