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Finding the Fourth Proportional to 316.15, 433.67 and 313.41

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Solution

The fourth proportional to 316.15, 433.67 and 313.41 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.15 : 433.67 = 313.41 : x
  2. Step 2: Convert to fraction form
    316.15/433.67 = 313.41/x
  3. Step 3: Cross multiply
    316.15x = 433.67 × 313.41
  4. Step 4: Simplify right side
    316.15x = 135,914.95
  5. Step 5: Solve for x
    x = 135,914.95/316.15
  6. Step 6: Final answer
    x = 429.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.