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Finding the Fourth Proportional to 963.37, 1,445.12 and 338.59

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Solution

The fourth proportional to 963.37, 1,445.12 and 338.59 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.37 : 1,445.12 = 338.59 : x
  2. Step 2: Convert to fraction form
    963.37/1,445.12 = 338.59/x
  3. Step 3: Cross multiply
    963.37x = 1,445.12 × 338.59
  4. Step 4: Simplify right side
    963.37x = 489,303.31
  5. Step 5: Solve for x
    x = 489,303.31/963.37
  6. Step 6: Final answer
    x = 507.91

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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.