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Finding the Fourth Proportional to 597.53, 893.62 and 449.39

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Solution

The fourth proportional to 597.53, 893.62 and 449.39 is: 672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 893.62 = 449.39 : x
  2. Step 2: Convert to fraction form
    597.53/893.62 = 449.39/x
  3. Step 3: Cross multiply
    597.53x = 893.62 × 449.39
  4. Step 4: Simplify right side
    597.53x = 401,581.64
  5. Step 5: Solve for x
    x = 401,581.64/597.53
  6. Step 6: Final answer
    x = 672.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.