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Finding the Fourth Proportional to 313.89, 471.72 and 302.39

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Solution

The fourth proportional to 313.89, 471.72 and 302.39 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.89 : 471.72 = 302.39 : x
  2. Step 2: Convert to fraction form
    313.89/471.72 = 302.39/x
  3. Step 3: Cross multiply
    313.89x = 471.72 × 302.39
  4. Step 4: Simplify right side
    313.89x = 142,643.41
  5. Step 5: Solve for x
    x = 142,643.41/313.89
  6. Step 6: Final answer
    x = 454.44

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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.