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Finding the Fourth Proportional to 708.05, 977.13 and 393.36

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Solution

The fourth proportional to 708.05, 977.13 and 393.36 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 977.13 = 393.36 : x
  2. Step 2: Convert to fraction form
    708.05/977.13 = 393.36/x
  3. Step 3: Cross multiply
    708.05x = 977.13 × 393.36
  4. Step 4: Simplify right side
    708.05x = 384,363.86
  5. Step 5: Solve for x
    x = 384,363.86/708.05
  6. Step 6: Final answer
    x = 542.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.