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Finding the Fourth Proportional to 970.75, 1,456.34 and 354.44

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Solution

The fourth proportional to 970.75, 1,456.34 and 354.44 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.75 : 1,456.34 = 354.44 : x
  2. Step 2: Convert to fraction form
    970.75/1,456.34 = 354.44/x
  3. Step 3: Cross multiply
    970.75x = 1,456.34 × 354.44
  4. Step 4: Simplify right side
    970.75x = 516,185.15
  5. Step 5: Solve for x
    x = 516,185.15/970.75
  6. Step 6: Final answer
    x = 531.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.