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Finding the Fourth Proportional to 842.16, 1,262.96 and 322.04

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Solution

The fourth proportional to 842.16, 1,262.96 and 322.04 is: 482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.16 : 1,262.96 = 322.04 : x
  2. Step 2: Convert to fraction form
    842.16/1,262.96 = 322.04/x
  3. Step 3: Cross multiply
    842.16x = 1,262.96 × 322.04
  4. Step 4: Simplify right side
    842.16x = 406,715.71
  5. Step 5: Solve for x
    x = 406,715.71/842.16
  6. Step 6: Final answer
    x = 482.94

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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.