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Finding the Fourth Proportional to 564.81, 848.63 and 359.47

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Solution

The fourth proportional to 564.81, 848.63 and 359.47 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 848.63 = 359.47 : x
  2. Step 2: Convert to fraction form
    564.81/848.63 = 359.47/x
  3. Step 3: Cross multiply
    564.81x = 848.63 × 359.47
  4. Step 4: Simplify right side
    564.81x = 305,057.03
  5. Step 5: Solve for x
    x = 305,057.03/564.81
  6. Step 6: Final answer
    x = 540.11

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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.