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Finding the Fourth Proportional to 703.52, 970.80 and 441.44

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Solution

The fourth proportional to 703.52, 970.80 and 441.44 is: 609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 970.80 = 441.44 : x
  2. Step 2: Convert to fraction form
    703.52/970.80 = 441.44/x
  3. Step 3: Cross multiply
    703.52x = 970.80 × 441.44
  4. Step 4: Simplify right side
    703.52x = 428,549.95
  5. Step 5: Solve for x
    x = 428,549.95/703.52
  6. Step 6: Final answer
    x = 609.15

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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.