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Finding the Fourth Proportional to 712.80, 983.21 and 446.99

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Solution

The fourth proportional to 712.80, 983.21 and 446.99 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 983.21 = 446.99 : x
  2. Step 2: Convert to fraction form
    712.80/983.21 = 446.99/x
  3. Step 3: Cross multiply
    712.80x = 983.21 × 446.99
  4. Step 4: Simplify right side
    712.80x = 439,477.89
  5. Step 5: Solve for x
    x = 439,477.89/712.80
  6. Step 6: Final answer
    x = 616.55

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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.