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Finding the Fourth Proportional to 897.02, 1,344.97 and 403.33

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Solution

The fourth proportional to 897.02, 1,344.97 and 403.33 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.02 : 1,344.97 = 403.33 : x
  2. Step 2: Convert to fraction form
    897.02/1,344.97 = 403.33/x
  3. Step 3: Cross multiply
    897.02x = 1,344.97 × 403.33
  4. Step 4: Simplify right side
    897.02x = 542,466.75
  5. Step 5: Solve for x
    x = 542,466.75/897.02
  6. Step 6: Final answer
    x = 604.74

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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.