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Finding the Fourth Proportional to 965.43, 1,447.81 and 316

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Solution

The fourth proportional to 965.43, 1,447.81 and 316 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.43 : 1,447.81 = 316 : x
  2. Step 2: Convert to fraction form
    965.43/1,447.81 = 316/x
  3. Step 3: Cross multiply
    965.43x = 1,447.81 × 316
  4. Step 4: Simplify right side
    965.43x = 457,507.96
  5. Step 5: Solve for x
    x = 457,507.96/965.43
  6. Step 6: Final answer
    x = 473.89

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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.