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Finding the Fourth Proportional to 970.97, 1,456.71 and 321.71

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Solution

The fourth proportional to 970.97, 1,456.71 and 321.71 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.97 : 1,456.71 = 321.71 : x
  2. Step 2: Convert to fraction form
    970.97/1,456.71 = 321.71/x
  3. Step 3: Cross multiply
    970.97x = 1,456.71 × 321.71
  4. Step 4: Simplify right side
    970.97x = 468,630.89
  5. Step 5: Solve for x
    x = 468,630.89/970.97
  6. Step 6: Final answer
    x = 482.64

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