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Finding the Fourth Proportional to 899.41, 1,349.13 and 322.27

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Solution

The fourth proportional to 899.41, 1,349.13 and 322.27 is: 483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.41 : 1,349.13 = 322.27 : x
  2. Step 2: Convert to fraction form
    899.41/1,349.13 = 322.27/x
  3. Step 3: Cross multiply
    899.41x = 1,349.13 × 322.27
  4. Step 4: Simplify right side
    899.41x = 434,784.13
  5. Step 5: Solve for x
    x = 434,784.13/899.41
  6. Step 6: Final answer
    x = 483.41

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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.