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Finding the Fourth Proportional to 708.56, 977.82 and 393.82

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Solution

The fourth proportional to 708.56, 977.82 and 393.82 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.56 : 977.82 = 393.82 : x
  2. Step 2: Convert to fraction form
    708.56/977.82 = 393.82/x
  3. Step 3: Cross multiply
    708.56x = 977.82 × 393.82
  4. Step 4: Simplify right side
    708.56x = 385,085.07
  5. Step 5: Solve for x
    x = 385,085.07/708.56
  6. Step 6: Final answer
    x = 543.48

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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.