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Finding the Fourth Proportional to 970.82, 1,456.37 and 321.40

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Solution

The fourth proportional to 970.82, 1,456.37 and 321.40 is: 482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.82 : 1,456.37 = 321.40 : x
  2. Step 2: Convert to fraction form
    970.82/1,456.37 = 321.40/x
  3. Step 3: Cross multiply
    970.82x = 1,456.37 × 321.40
  4. Step 4: Simplify right side
    970.82x = 468,080.54
  5. Step 5: Solve for x
    x = 468,080.54/970.82
  6. Step 6: Final answer
    x = 482.15

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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.