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Finding the Fourth Proportional to 955.25, 1,433.07 and 442.25

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Solution

The fourth proportional to 955.25, 1,433.07 and 442.25 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.25 : 1,433.07 = 442.25 : x
  2. Step 2: Convert to fraction form
    955.25/1,433.07 = 442.25/x
  3. Step 3: Cross multiply
    955.25x = 1,433.07 × 442.25
  4. Step 4: Simplify right side
    955.25x = 633,775.21
  5. Step 5: Solve for x
    x = 633,775.21/955.25
  6. Step 6: Final answer
    x = 663.47

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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.