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Finding the Fourth Proportional to 970.86, 1,456.50 and 321.66

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Solution

The fourth proportional to 970.86, 1,456.50 and 321.66 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,456.50 = 321.66 : x
  2. Step 2: Convert to fraction form
    970.86/1,456.50 = 321.66/x
  3. Step 3: Cross multiply
    970.86x = 1,456.50 × 321.66
  4. Step 4: Simplify right side
    970.86x = 468,497.79
  5. Step 5: Solve for x
    x = 468,497.79/970.86
  6. Step 6: Final answer
    x = 482.56

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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.