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Finding the Fourth Proportional to 419.69, 576.07 and 372.02

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Solution

The fourth proportional to 419.69, 576.07 and 372.02 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 576.07 = 372.02 : x
  2. Step 2: Convert to fraction form
    419.69/576.07 = 372.02/x
  3. Step 3: Cross multiply
    419.69x = 576.07 × 372.02
  4. Step 4: Simplify right side
    419.69x = 214,305.75
  5. Step 5: Solve for x
    x = 214,305.75/419.69
  6. Step 6: Final answer
    x = 510.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.