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Finding the Fourth Proportional to 503.58, 754.84 and 286.69

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Solution

The fourth proportional to 503.58, 754.84 and 286.69 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 754.84 = 286.69 : x
  2. Step 2: Convert to fraction form
    503.58/754.84 = 286.69/x
  3. Step 3: Cross multiply
    503.58x = 754.84 × 286.69
  4. Step 4: Simplify right side
    503.58x = 216,405.08
  5. Step 5: Solve for x
    x = 216,405.08/503.58
  6. Step 6: Final answer
    x = 429.73

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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.