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Finding the Fourth Proportional to 328.96, 491.08 and 285.76

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Solution

The fourth proportional to 328.96, 491.08 and 285.76 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 491.08 = 285.76 : x
  2. Step 2: Convert to fraction form
    328.96/491.08 = 285.76/x
  3. Step 3: Cross multiply
    328.96x = 491.08 × 285.76
  4. Step 4: Simplify right side
    328.96x = 140,331.02
  5. Step 5: Solve for x
    x = 140,331.02/328.96
  6. Step 6: Final answer
    x = 426.59

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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.