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Finding the Fourth Proportional to 503.65, 755.72 and 298.61

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Solution

The fourth proportional to 503.65, 755.72 and 298.61 is: 448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 755.72 = 298.61 : x
  2. Step 2: Convert to fraction form
    503.65/755.72 = 298.61/x
  3. Step 3: Cross multiply
    503.65x = 755.72 × 298.61
  4. Step 4: Simplify right side
    503.65x = 225,665.55
  5. Step 5: Solve for x
    x = 225,665.55/503.65
  6. Step 6: Final answer
    x = 448.06

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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.