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Finding the Fourth Proportional to 503.07, 754.09 and 286.19

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Solution

The fourth proportional to 503.07, 754.09 and 286.19 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.07 : 754.09 = 286.19 : x
  2. Step 2: Convert to fraction form
    503.07/754.09 = 286.19/x
  3. Step 3: Cross multiply
    503.07x = 754.09 × 286.19
  4. Step 4: Simplify right side
    503.07x = 215,813.02
  5. Step 5: Solve for x
    x = 215,813.02/503.07
  6. Step 6: Final answer
    x = 428.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.