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Finding the Fourth Proportional to 970.95, 1,456.44 and 321.75

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Solution

The fourth proportional to 970.95, 1,456.44 and 321.75 is: 482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.95 : 1,456.44 = 321.75 : x
  2. Step 2: Convert to fraction form
    970.95/1,456.44 = 321.75/x
  3. Step 3: Cross multiply
    970.95x = 1,456.44 × 321.75
  4. Step 4: Simplify right side
    970.95x = 468,609.57
  5. Step 5: Solve for x
    x = 468,609.57/970.95
  6. Step 6: Final answer
    x = 482.63

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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.