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Finding the Fourth Proportional to 713.99, 985.29 and 419.19

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Solution

The fourth proportional to 713.99, 985.29 and 419.19 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 985.29 = 419.19 : x
  2. Step 2: Convert to fraction form
    713.99/985.29 = 419.19/x
  3. Step 3: Cross multiply
    713.99x = 985.29 × 419.19
  4. Step 4: Simplify right side
    713.99x = 413,023.72
  5. Step 5: Solve for x
    x = 413,023.72/713.99
  6. Step 6: Final answer
    x = 578.48

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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.