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Finding the Fourth Proportional to 963, 1,444.24 and 346.63

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Solution

The fourth proportional to 963, 1,444.24 and 346.63 is: 519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 1,444.24 = 346.63 : x
  2. Step 2: Convert to fraction form
    963/1,444.24 = 346.63/x
  3. Step 3: Cross multiply
    963x = 1,444.24 × 346.63
  4. Step 4: Simplify right side
    963x = 500,616.91
  5. Step 5: Solve for x
    x = 500,616.91/963
  6. Step 6: Final answer
    x = 519.85

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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.