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Finding the Fourth Proportional to 703.83, 970.87 and 441.39

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Solution

The fourth proportional to 703.83, 970.87 and 441.39 is: 608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 970.87 = 441.39 : x
  2. Step 2: Convert to fraction form
    703.83/970.87 = 441.39/x
  3. Step 3: Cross multiply
    703.83x = 970.87 × 441.39
  4. Step 4: Simplify right side
    703.83x = 428,532.31
  5. Step 5: Solve for x
    x = 428,532.31/703.83
  6. Step 6: Final answer
    x = 608.86

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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.