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Finding the Fourth Proportional to 962.97, 1,443.87 and 313.62

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Solution

The fourth proportional to 962.97, 1,443.87 and 313.62 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.97 : 1,443.87 = 313.62 : x
  2. Step 2: Convert to fraction form
    962.97/1,443.87 = 313.62/x
  3. Step 3: Cross multiply
    962.97x = 1,443.87 × 313.62
  4. Step 4: Simplify right side
    962.97x = 452,826.51
  5. Step 5: Solve for x
    x = 452,826.51/962.97
  6. Step 6: Final answer
    x = 470.24

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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.