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Finding the Fourth Proportional to 503.30, 754.34 and 259.69

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Solution

The fourth proportional to 503.30, 754.34 and 259.69 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 754.34 = 259.69 : x
  2. Step 2: Convert to fraction form
    503.30/754.34 = 259.69/x
  3. Step 3: Cross multiply
    503.30x = 754.34 × 259.69
  4. Step 4: Simplify right side
    503.30x = 195,894.55
  5. Step 5: Solve for x
    x = 195,894.55/503.30
  6. Step 6: Final answer
    x = 389.22

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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.