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Finding the Fourth Proportional to 566.14, 779.46 and 441.64

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Solution

The fourth proportional to 566.14, 779.46 and 441.64 is: 608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.14 : 779.46 = 441.64 : x
  2. Step 2: Convert to fraction form
    566.14/779.46 = 441.64/x
  3. Step 3: Cross multiply
    566.14x = 779.46 × 441.64
  4. Step 4: Simplify right side
    566.14x = 344,240.71
  5. Step 5: Solve for x
    x = 344,240.71/566.14
  6. Step 6: Final answer
    x = 608.05

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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.