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Finding the Fourth Proportional to 708.17, 977.24 and 393.43

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Solution

The fourth proportional to 708.17, 977.24 and 393.43 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.17 : 977.24 = 393.43 : x
  2. Step 2: Convert to fraction form
    708.17/977.24 = 393.43/x
  3. Step 3: Cross multiply
    708.17x = 977.24 × 393.43
  4. Step 4: Simplify right side
    708.17x = 384,473.57
  5. Step 5: Solve for x
    x = 384,473.57/708.17
  6. Step 6: Final answer
    x = 542.91

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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.