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Finding the Fourth Proportional to 392.08, 590.26 and 358.60

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Solution

The fourth proportional to 392.08, 590.26 and 358.60 is: 539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 590.26 = 358.60 : x
  2. Step 2: Convert to fraction form
    392.08/590.26 = 358.60/x
  3. Step 3: Cross multiply
    392.08x = 590.26 × 358.60
  4. Step 4: Simplify right side
    392.08x = 211,667.24
  5. Step 5: Solve for x
    x = 211,667.24/392.08
  6. Step 6: Final answer
    x = 539.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.