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Finding the Fourth Proportional to 963.77, 1,445.67 and 233.35

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Solution

The fourth proportional to 963.77, 1,445.67 and 233.35 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.77 : 1,445.67 = 233.35 : x
  2. Step 2: Convert to fraction form
    963.77/1,445.67 = 233.35/x
  3. Step 3: Cross multiply
    963.77x = 1,445.67 × 233.35
  4. Step 4: Simplify right side
    963.77x = 337,345.93
  5. Step 5: Solve for x
    x = 337,345.93/963.77
  6. Step 6: Final answer
    x = 350.03

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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.