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Finding the Fourth Proportional to 390.22, 584.42 and 303.35

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Solution

The fourth proportional to 390.22, 584.42 and 303.35 is: 454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 584.42 = 303.35 : x
  2. Step 2: Convert to fraction form
    390.22/584.42 = 303.35/x
  3. Step 3: Cross multiply
    390.22x = 584.42 × 303.35
  4. Step 4: Simplify right side
    390.22x = 177,279.37
  5. Step 5: Solve for x
    x = 177,279.37/390.22
  6. Step 6: Final answer
    x = 454.31

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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.