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Finding the Fourth Proportional to 597.55, 892.92 and 448.33

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Solution

The fourth proportional to 597.55, 892.92 and 448.33 is: 669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.55 : 892.92 = 448.33 : x
  2. Step 2: Convert to fraction form
    597.55/892.92 = 448.33/x
  3. Step 3: Cross multiply
    597.55x = 892.92 × 448.33
  4. Step 4: Simplify right side
    597.55x = 400,320.59
  5. Step 5: Solve for x
    x = 400,320.59/597.55
  6. Step 6: Final answer
    x = 669.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.