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Finding the Fourth Proportional to 971.02, 1,456.61 and 321.76

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Solution

The fourth proportional to 971.02, 1,456.61 and 321.76 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.02 : 1,456.61 = 321.76 : x
  2. Step 2: Convert to fraction form
    971.02/1,456.61 = 321.76/x
  3. Step 3: Cross multiply
    971.02x = 1,456.61 × 321.76
  4. Step 4: Simplify right side
    971.02x = 468,675.59
  5. Step 5: Solve for x
    x = 468,675.59/971.02
  6. Step 6: Final answer
    x = 482.66

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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.