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Finding the Fourth Proportional to 397.54, 596.08 and 214.89

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Solution

The fourth proportional to 397.54, 596.08 and 214.89 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.54 : 596.08 = 214.89 : x
  2. Step 2: Convert to fraction form
    397.54/596.08 = 214.89/x
  3. Step 3: Cross multiply
    397.54x = 596.08 × 214.89
  4. Step 4: Simplify right side
    397.54x = 128,091.63
  5. Step 5: Solve for x
    x = 128,091.63/397.54
  6. Step 6: Final answer
    x = 322.21

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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.