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Finding the Fourth Proportional to 566.94, 782.83 and 378.07

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Solution

The fourth proportional to 566.94, 782.83 and 378.07 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.94 : 782.83 = 378.07 : x
  2. Step 2: Convert to fraction form
    566.94/782.83 = 378.07/x
  3. Step 3: Cross multiply
    566.94x = 782.83 × 378.07
  4. Step 4: Simplify right side
    566.94x = 295,963.05
  5. Step 5: Solve for x
    x = 295,963.05/566.94
  6. Step 6: Final answer
    x = 522.03

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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.