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Finding the Fourth Proportional to 427.51, 589.46 and 364.49

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Solution

The fourth proportional to 427.51, 589.46 and 364.49 is: 502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.51 : 589.46 = 364.49 : x
  2. Step 2: Convert to fraction form
    427.51/589.46 = 364.49/x
  3. Step 3: Cross multiply
    427.51x = 589.46 × 364.49
  4. Step 4: Simplify right side
    427.51x = 214,849.72
  5. Step 5: Solve for x
    x = 214,849.72/427.51
  6. Step 6: Final answer
    x = 502.56

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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.