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Finding the Fourth Proportional to 842.40, 1,262.70 and 322.20

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Solution

The fourth proportional to 842.40, 1,262.70 and 322.20 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,262.70 = 322.20 : x
  2. Step 2: Convert to fraction form
    842.40/1,262.70 = 322.20/x
  3. Step 3: Cross multiply
    842.40x = 1,262.70 × 322.20
  4. Step 4: Simplify right side
    842.40x = 406,841.94
  5. Step 5: Solve for x
    x = 406,841.94/842.40
  6. Step 6: Final answer
    x = 482.96

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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.