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Finding the Fourth Proportional to 963.05, 1,444.70 and 313.63

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Solution

The fourth proportional to 963.05, 1,444.70 and 313.63 is: 470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.05 : 1,444.70 = 313.63 : x
  2. Step 2: Convert to fraction form
    963.05/1,444.70 = 313.63/x
  3. Step 3: Cross multiply
    963.05x = 1,444.70 × 313.63
  4. Step 4: Simplify right side
    963.05x = 453,098.43
  5. Step 5: Solve for x
    x = 453,098.43/963.05
  6. Step 6: Final answer
    x = 470.49

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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.