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Finding the Fourth Proportional to 899.23, 1,349.10 and 378.96

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Solution

The fourth proportional to 899.23, 1,349.10 and 378.96 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.23 : 1,349.10 = 378.96 : x
  2. Step 2: Convert to fraction form
    899.23/1,349.10 = 378.96/x
  3. Step 3: Cross multiply
    899.23x = 1,349.10 × 378.96
  4. Step 4: Simplify right side
    899.23x = 511,254.94
  5. Step 5: Solve for x
    x = 511,254.94/899.23
  6. Step 6: Final answer
    x = 568.55

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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.