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Finding the Fourth Proportional to 597.84, 825.56 and 450.21

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Solution

The fourth proportional to 597.84, 825.56 and 450.21 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 825.56 = 450.21 : x
  2. Step 2: Convert to fraction form
    597.84/825.56 = 450.21/x
  3. Step 3: Cross multiply
    597.84x = 825.56 × 450.21
  4. Step 4: Simplify right side
    597.84x = 371,677.90
  5. Step 5: Solve for x
    x = 371,677.90/597.84
  6. Step 6: Final answer
    x = 621.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.