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Finding the Fourth Proportional to 708.71, 978.07 and 394.01

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Solution

The fourth proportional to 708.71, 978.07 and 394.01 is: 543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 978.07 = 394.01 : x
  2. Step 2: Convert to fraction form
    708.71/978.07 = 394.01/x
  3. Step 3: Cross multiply
    708.71x = 978.07 × 394.01
  4. Step 4: Simplify right side
    708.71x = 385,364.47
  5. Step 5: Solve for x
    x = 385,364.47/708.71
  6. Step 6: Final answer
    x = 543.75

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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.