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Finding the Fourth Proportional to 314.08, 433.84 and 302.84

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Solution

The fourth proportional to 314.08, 433.84 and 302.84 is: 418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 433.84 = 302.84 : x
  2. Step 2: Convert to fraction form
    314.08/433.84 = 302.84/x
  3. Step 3: Cross multiply
    314.08x = 433.84 × 302.84
  4. Step 4: Simplify right side
    314.08x = 131,384.11
  5. Step 5: Solve for x
    x = 131,384.11/314.08
  6. Step 6: Final answer
    x = 418.31

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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.