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Finding the Fourth Proportional to 330.68, 497.85 and 286.03

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Solution

The fourth proportional to 330.68, 497.85 and 286.03 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 497.85 = 286.03 : x
  2. Step 2: Convert to fraction form
    330.68/497.85 = 286.03/x
  3. Step 3: Cross multiply
    330.68x = 497.85 × 286.03
  4. Step 4: Simplify right side
    330.68x = 142,399.59
  5. Step 5: Solve for x
    x = 142,399.59/330.68
  6. Step 6: Final answer
    x = 430.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.