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Finding the Fourth Proportional to 708.74, 978.00 and 393.98

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Solution

The fourth proportional to 708.74, 978.00 and 393.98 is: 543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.74 : 978.00 = 393.98 : x
  2. Step 2: Convert to fraction form
    708.74/978.00 = 393.98/x
  3. Step 3: Cross multiply
    708.74x = 978.00 × 393.98
  4. Step 4: Simplify right side
    708.74x = 385,311.41
  5. Step 5: Solve for x
    x = 385,311.41/708.74
  6. Step 6: Final answer
    x = 543.66

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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.