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Finding the Fourth Proportional to 899.39, 1,349.22 and 322.13

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Solution

The fourth proportional to 899.39, 1,349.22 and 322.13 is: 483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.39 : 1,349.22 = 322.13 : x
  2. Step 2: Convert to fraction form
    899.39/1,349.22 = 322.13/x
  3. Step 3: Cross multiply
    899.39x = 1,349.22 × 322.13
  4. Step 4: Simplify right side
    899.39x = 434,624.24
  5. Step 5: Solve for x
    x = 434,624.24/899.39
  6. Step 6: Final answer
    x = 483.24

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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.