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Finding the Fourth Proportional to 964.81, 1,447.29 and 271.53

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Solution

The fourth proportional to 964.81, 1,447.29 and 271.53 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.81 : 1,447.29 = 271.53 : x
  2. Step 2: Convert to fraction form
    964.81/1,447.29 = 271.53/x
  3. Step 3: Cross multiply
    964.81x = 1,447.29 × 271.53
  4. Step 4: Simplify right side
    964.81x = 392,984.91
  5. Step 5: Solve for x
    x = 392,984.91/964.81
  6. Step 6: Final answer
    x = 407.32

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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.