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Finding the Fourth Proportional to 328.48, 492.70 and 191.56

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Solution

The fourth proportional to 328.48, 492.70 and 191.56 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.48 : 492.70 = 191.56 : x
  2. Step 2: Convert to fraction form
    328.48/492.70 = 191.56/x
  3. Step 3: Cross multiply
    328.48x = 492.70 × 191.56
  4. Step 4: Simplify right side
    328.48x = 94,381.61
  5. Step 5: Solve for x
    x = 94,381.61/328.48
  6. Step 6: Final answer
    x = 287.33

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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.