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Finding the Fourth Proportional to 364.44, 546.12 and 256.44

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Solution

The fourth proportional to 364.44, 546.12 and 256.44 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.44 : 546.12 = 256.44 : x
  2. Step 2: Convert to fraction form
    364.44/546.12 = 256.44/x
  3. Step 3: Cross multiply
    364.44x = 546.12 × 256.44
  4. Step 4: Simplify right side
    364.44x = 140,047.01
  5. Step 5: Solve for x
    x = 140,047.01/364.44
  6. Step 6: Final answer
    x = 384.28

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Why These Related Problems?

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