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Finding the Fourth Proportional to 708.59, 977.83 and 393.88

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Solution

The fourth proportional to 708.59, 977.83 and 393.88 is: 543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.59 : 977.83 = 393.88 : x
  2. Step 2: Convert to fraction form
    708.59/977.83 = 393.88/x
  3. Step 3: Cross multiply
    708.59x = 977.83 × 393.88
  4. Step 4: Simplify right side
    708.59x = 385,143.27
  5. Step 5: Solve for x
    x = 385,143.27/708.59
  6. Step 6: Final answer
    x = 543.53

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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.