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Finding the Fourth Proportional to 279.32, 418.23 and 214.11

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Solution

The fourth proportional to 279.32, 418.23 and 214.11 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.32 : 418.23 = 214.11 : x
  2. Step 2: Convert to fraction form
    279.32/418.23 = 214.11/x
  3. Step 3: Cross multiply
    279.32x = 418.23 × 214.11
  4. Step 4: Simplify right side
    279.32x = 89,547.23
  5. Step 5: Solve for x
    x = 89,547.23/279.32
  6. Step 6: Final answer
    x = 320.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.