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Finding the Fourth Proportional to 328.18, 492.30 and 319.54

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Solution

The fourth proportional to 328.18, 492.30 and 319.54 is: 479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.18 : 492.30 = 319.54 : x
  2. Step 2: Convert to fraction form
    328.18/492.30 = 319.54/x
  3. Step 3: Cross multiply
    328.18x = 492.30 × 319.54
  4. Step 4: Simplify right side
    328.18x = 157,309.54
  5. Step 5: Solve for x
    x = 157,309.54/328.18
  6. Step 6: Final answer
    x = 479.34

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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.