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Finding the Fourth Proportional to 566.80, 848.41 and 392.58

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Solution

The fourth proportional to 566.80, 848.41 and 392.58 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 848.41 = 392.58 : x
  2. Step 2: Convert to fraction form
    566.80/848.41 = 392.58/x
  3. Step 3: Cross multiply
    566.80x = 848.41 × 392.58
  4. Step 4: Simplify right side
    566.80x = 333,067.82
  5. Step 5: Solve for x
    x = 333,067.82/566.80
  6. Step 6: Final answer
    x = 587.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.