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Finding the Fourth Proportional to 708.02, 977.05 and 393.28

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Solution

The fourth proportional to 708.02, 977.05 and 393.28 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.02 : 977.05 = 393.28 : x
  2. Step 2: Convert to fraction form
    708.02/977.05 = 393.28/x
  3. Step 3: Cross multiply
    708.02x = 977.05 × 393.28
  4. Step 4: Simplify right side
    708.02x = 384,252.27
  5. Step 5: Solve for x
    x = 384,252.27/708.02
  6. Step 6: Final answer
    x = 542.71

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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.