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Finding the Fourth Proportional to 737.46, 1,017.35 and 442.21

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Solution

The fourth proportional to 737.46, 1,017.35 and 442.21 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.46 : 1,017.35 = 442.21 : x
  2. Step 2: Convert to fraction form
    737.46/1,017.35 = 442.21/x
  3. Step 3: Cross multiply
    737.46x = 1,017.35 × 442.21
  4. Step 4: Simplify right side
    737.46x = 449,883.06
  5. Step 5: Solve for x
    x = 449,883.06/737.46
  6. Step 6: Final answer
    x = 610.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.