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Finding the Fourth Proportional to 393.70, 590.55 and 393.70

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Solution

The fourth proportional to 393.70, 590.55 and 393.70 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.70 : 590.55 = 393.70 : x
  2. Step 2: Convert to fraction form
    393.70/590.55 = 393.70/x
  3. Step 3: Cross multiply
    393.70x = 590.55 × 393.70
  4. Step 4: Simplify right side
    393.70x = 232,499.54
  5. Step 5: Solve for x
    x = 232,499.54/393.70
  6. Step 6: Final answer
    x = 590.55

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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.