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Finding the Fourth Proportional to 503.42, 755 and 259.74

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Solution

The fourth proportional to 503.42, 755 and 259.74 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 755 = 259.74 : x
  2. Step 2: Convert to fraction form
    503.42/755 = 259.74/x
  3. Step 3: Cross multiply
    503.42x = 755 × 259.74
  4. Step 4: Simplify right side
    503.42x = 196,103.70
  5. Step 5: Solve for x
    x = 196,103.70/503.42
  6. Step 6: Final answer
    x = 389.54

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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.