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Finding the Fourth Proportional to 544.66, 750.78 and 369.70

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Solution

The fourth proportional to 544.66, 750.78 and 369.70 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.66 : 750.78 = 369.70 : x
  2. Step 2: Convert to fraction form
    544.66/750.78 = 369.70/x
  3. Step 3: Cross multiply
    544.66x = 750.78 × 369.70
  4. Step 4: Simplify right side
    544.66x = 277,563.37
  5. Step 5: Solve for x
    x = 277,563.37/544.66
  6. Step 6: Final answer
    x = 509.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.