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Finding the Fourth Proportional to 708.56, 977.26 and 446.48

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Solution

The fourth proportional to 708.56, 977.26 and 446.48 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.56 : 977.26 = 446.48 : x
  2. Step 2: Convert to fraction form
    708.56/977.26 = 446.48/x
  3. Step 3: Cross multiply
    708.56x = 977.26 × 446.48
  4. Step 4: Simplify right side
    708.56x = 436,327.04
  5. Step 5: Solve for x
    x = 436,327.04/708.56
  6. Step 6: Final answer
    x = 615.79

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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.