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Finding the Fourth Proportional to 597.02, 892.87 and 448.89

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Solution

The fourth proportional to 597.02, 892.87 and 448.89 is: 671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 892.87 = 448.89 : x
  2. Step 2: Convert to fraction form
    597.02/892.87 = 448.89/x
  3. Step 3: Cross multiply
    597.02x = 892.87 × 448.89
  4. Step 4: Simplify right side
    597.02x = 400,799.29
  5. Step 5: Solve for x
    x = 400,799.29/597.02
  6. Step 6: Final answer
    x = 671.33

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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.