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Finding the Fourth Proportional to 970.31, 1,455.50 and 321.23

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Solution

The fourth proportional to 970.31, 1,455.50 and 321.23 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,455.50 = 321.23 : x
  2. Step 2: Convert to fraction form
    970.31/1,455.50 = 321.23/x
  3. Step 3: Cross multiply
    970.31x = 1,455.50 × 321.23
  4. Step 4: Simplify right side
    970.31x = 467,554.71
  5. Step 5: Solve for x
    x = 467,554.71/970.31
  6. Step 6: Final answer
    x = 481.86

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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.