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Finding the Fourth Proportional to 322.16, 445.03 and 256.58

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Solution

The fourth proportional to 322.16, 445.03 and 256.58 is: 354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 445.03 = 256.58 : x
  2. Step 2: Convert to fraction form
    322.16/445.03 = 256.58/x
  3. Step 3: Cross multiply
    322.16x = 445.03 × 256.58
  4. Step 4: Simplify right side
    322.16x = 114,182.93
  5. Step 5: Solve for x
    x = 114,182.93/322.16
  6. Step 6: Final answer
    x = 354.43

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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.