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Finding the Fourth Proportional to 322.42, 445.20 and 312.10

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Solution

The fourth proportional to 322.42, 445.20 and 312.10 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 445.20 = 312.10 : x
  2. Step 2: Convert to fraction form
    322.42/445.20 = 312.10/x
  3. Step 3: Cross multiply
    322.42x = 445.20 × 312.10
  4. Step 4: Simplify right side
    322.42x = 138,946.92
  5. Step 5: Solve for x
    x = 138,946.92/322.42
  6. Step 6: Final answer
    x = 430.95

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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.