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Finding the Fourth Proportional to 353.92, 528.44 and 319.92

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Solution

The fourth proportional to 353.92, 528.44 and 319.92 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.92 : 528.44 = 319.92 : x
  2. Step 2: Convert to fraction form
    353.92/528.44 = 319.92/x
  3. Step 3: Cross multiply
    353.92x = 528.44 × 319.92
  4. Step 4: Simplify right side
    353.92x = 169,058.52
  5. Step 5: Solve for x
    x = 169,058.52/353.92
  6. Step 6: Final answer
    x = 477.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.