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Finding the Fourth Proportional to 419.27, 578.21 and 302.63

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Solution

The fourth proportional to 419.27, 578.21 and 302.63 is: 417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.27 : 578.21 = 302.63 : x
  2. Step 2: Convert to fraction form
    419.27/578.21 = 302.63/x
  3. Step 3: Cross multiply
    419.27x = 578.21 × 302.63
  4. Step 4: Simplify right side
    419.27x = 174,979.29
  5. Step 5: Solve for x
    x = 174,979.29/419.27
  6. Step 6: Final answer
    x = 417.35

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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.