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Finding the Fourth Proportional to 394.72, 590.52 and 348.55

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Solution

The fourth proportional to 394.72, 590.52 and 348.55 is: 521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.72 : 590.52 = 348.55 : x
  2. Step 2: Convert to fraction form
    394.72/590.52 = 348.55/x
  3. Step 3: Cross multiply
    394.72x = 590.52 × 348.55
  4. Step 4: Simplify right side
    394.72x = 205,825.75
  5. Step 5: Solve for x
    x = 205,825.75/394.72
  6. Step 6: Final answer
    x = 521.45

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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.