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Finding the Fourth Proportional to 564.94, 780.23 and 388.37

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Solution

The fourth proportional to 564.94, 780.23 and 388.37 is: 536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.94 : 780.23 = 388.37 : x
  2. Step 2: Convert to fraction form
    564.94/780.23 = 388.37/x
  3. Step 3: Cross multiply
    564.94x = 780.23 × 388.37
  4. Step 4: Simplify right side
    564.94x = 303,016.46
  5. Step 5: Solve for x
    x = 303,016.46/564.94
  6. Step 6: Final answer
    x = 536.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.