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Finding the Fourth Proportional to 960.84, 1,441.31 and 302.81

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Solution

The fourth proportional to 960.84, 1,441.31 and 302.81 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.84 : 1,441.31 = 302.81 : x
  2. Step 2: Convert to fraction form
    960.84/1,441.31 = 302.81/x
  3. Step 3: Cross multiply
    960.84x = 1,441.31 × 302.81
  4. Step 4: Simplify right side
    960.84x = 436,434.36
  5. Step 5: Solve for x
    x = 436,434.36/960.84
  6. Step 6: Final answer
    x = 454.22

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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.