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Finding the Fourth Proportional to 397.56, 595.60 and 354.66

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Solution

The fourth proportional to 397.56, 595.60 and 354.66 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 595.60 = 354.66 : x
  2. Step 2: Convert to fraction form
    397.56/595.60 = 354.66/x
  3. Step 3: Cross multiply
    397.56x = 595.60 × 354.66
  4. Step 4: Simplify right side
    397.56x = 211,234.61
  5. Step 5: Solve for x
    x = 211,234.61/397.56
  6. Step 6: Final answer
    x = 531.33

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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.