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Finding the Fourth Proportional to 899.40, 1,349.10 and 322.28

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Solution

The fourth proportional to 899.40, 1,349.10 and 322.28 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.40 : 1,349.10 = 322.28 : x
  2. Step 2: Convert to fraction form
    899.40/1,349.10 = 322.28/x
  3. Step 3: Cross multiply
    899.40x = 1,349.10 × 322.28
  4. Step 4: Simplify right side
    899.40x = 434,787.95
  5. Step 5: Solve for x
    x = 434,787.95/899.40
  6. Step 6: Final answer
    x = 483.42

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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.