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Finding the Fourth Proportional to 372.08, 512.94 and 302.02

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Solution

The fourth proportional to 372.08, 512.94 and 302.02 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 512.94 = 302.02 : x
  2. Step 2: Convert to fraction form
    372.08/512.94 = 302.02/x
  3. Step 3: Cross multiply
    372.08x = 512.94 × 302.02
  4. Step 4: Simplify right side
    372.08x = 154,918.14
  5. Step 5: Solve for x
    x = 154,918.14/372.08
  6. Step 6: Final answer
    x = 416.36

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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.