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Finding the Fourth Proportional to 418.69, 578.09 and 314.01

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Solution

The fourth proportional to 418.69, 578.09 and 314.01 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 578.09 = 314.01 : x
  2. Step 2: Convert to fraction form
    418.69/578.09 = 314.01/x
  3. Step 3: Cross multiply
    418.69x = 578.09 × 314.01
  4. Step 4: Simplify right side
    418.69x = 181,526.04
  5. Step 5: Solve for x
    x = 181,526.04/418.69
  6. Step 6: Final answer
    x = 433.56

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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.