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Finding the Fourth Proportional to 426.47, 640.04 and 253.21

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Solution

The fourth proportional to 426.47, 640.04 and 253.21 is: 380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 640.04 = 253.21 : x
  2. Step 2: Convert to fraction form
    426.47/640.04 = 253.21/x
  3. Step 3: Cross multiply
    426.47x = 640.04 × 253.21
  4. Step 4: Simplify right side
    426.47x = 162,066.63
  5. Step 5: Solve for x
    x = 162,066.63/426.47
  6. Step 6: Final answer
    x = 380.02

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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.