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Finding the Fourth Proportional to 564.67, 848.38 and 359.64

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Solution

The fourth proportional to 564.67, 848.38 and 359.64 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 848.38 = 359.64 : x
  2. Step 2: Convert to fraction form
    564.67/848.38 = 359.64/x
  3. Step 3: Cross multiply
    564.67x = 848.38 × 359.64
  4. Step 4: Simplify right side
    564.67x = 305,112.07
  5. Step 5: Solve for x
    x = 305,112.07/564.67
  6. Step 6: Final answer
    x = 540.33

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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.