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Finding the Fourth Proportional to 335.30, 500.75 and 286.03

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Solution

The fourth proportional to 335.30, 500.75 and 286.03 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 500.75 = 286.03 : x
  2. Step 2: Convert to fraction form
    335.30/500.75 = 286.03/x
  3. Step 3: Cross multiply
    335.30x = 500.75 × 286.03
  4. Step 4: Simplify right side
    335.30x = 143,228.99
  5. Step 5: Solve for x
    x = 143,228.99/335.30
  6. Step 6: Final answer
    x = 427.16

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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.