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Finding the Fourth Proportional to 566.37, 848.79 and 305.73

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Solution

The fourth proportional to 566.37, 848.79 and 305.73 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 848.79 = 305.73 : x
  2. Step 2: Convert to fraction form
    566.37/848.79 = 305.73/x
  3. Step 3: Cross multiply
    566.37x = 848.79 × 305.73
  4. Step 4: Simplify right side
    566.37x = 259,500.57
  5. Step 5: Solve for x
    x = 259,500.57/566.37
  6. Step 6: Final answer
    x = 458.18

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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.