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Finding the Fourth Proportional to 287.13, 431.10 and 214.23

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Solution

The fourth proportional to 287.13, 431.10 and 214.23 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.13 : 431.10 = 214.23 : x
  2. Step 2: Convert to fraction form
    287.13/431.10 = 214.23/x
  3. Step 3: Cross multiply
    287.13x = 431.10 × 214.23
  4. Step 4: Simplify right side
    287.13x = 92,354.55
  5. Step 5: Solve for x
    x = 92,354.55/287.13
  6. Step 6: Final answer
    x = 321.65

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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.