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Finding the Fourth Proportional to 504.67, 755.19 and 366.00

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Solution

The fourth proportional to 504.67, 755.19 and 366.00 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.67 : 755.19 = 366.00 : x
  2. Step 2: Convert to fraction form
    504.67/755.19 = 366.00/x
  3. Step 3: Cross multiply
    504.67x = 755.19 × 366.00
  4. Step 4: Simplify right side
    504.67x = 276,401.43
  5. Step 5: Solve for x
    x = 276,401.43/504.67
  6. Step 6: Final answer
    x = 547.69

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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.