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Finding the Fourth Proportional to 899.47, 1,349.14 and 379.20

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Solution

The fourth proportional to 899.47, 1,349.14 and 379.20 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.47 : 1,349.14 = 379.20 : x
  2. Step 2: Convert to fraction form
    899.47/1,349.14 = 379.20/x
  3. Step 3: Cross multiply
    899.47x = 1,349.14 × 379.20
  4. Step 4: Simplify right side
    899.47x = 511,593.89
  5. Step 5: Solve for x
    x = 511,593.89/899.47
  6. Step 6: Final answer
    x = 568.77

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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.