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Finding the Fourth Proportional to 446.31, 616.08 and 433.98

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Solution

The fourth proportional to 446.31, 616.08 and 433.98 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 616.08 = 433.98 : x
  2. Step 2: Convert to fraction form
    446.31/616.08 = 433.98/x
  3. Step 3: Cross multiply
    446.31x = 616.08 × 433.98
  4. Step 4: Simplify right side
    446.31x = 267,366.40
  5. Step 5: Solve for x
    x = 267,366.40/446.31
  6. Step 6: Final answer
    x = 599.06

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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.