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Finding the Fourth Proportional to 709.06, 978.50 and 394.32

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Solution

The fourth proportional to 709.06, 978.50 and 394.32 is: 544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.06 : 978.50 = 394.32 : x
  2. Step 2: Convert to fraction form
    709.06/978.50 = 394.32/x
  3. Step 3: Cross multiply
    709.06x = 978.50 × 394.32
  4. Step 4: Simplify right side
    709.06x = 385,836.48
  5. Step 5: Solve for x
    x = 385,836.48/709.06
  6. Step 6: Final answer
    x = 544.15

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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.