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Finding the Fourth Proportional to 304.94, 420.68 and 293.16

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Solution

The fourth proportional to 304.94, 420.68 and 293.16 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.94 : 420.68 = 293.16 : x
  2. Step 2: Convert to fraction form
    304.94/420.68 = 293.16/x
  3. Step 3: Cross multiply
    304.94x = 420.68 × 293.16
  4. Step 4: Simplify right side
    304.94x = 123,322.98
  5. Step 5: Solve for x
    x = 123,322.98/304.94
  6. Step 6: Final answer
    x = 404.41

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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.