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Finding the Fourth Proportional to 263.35, 394.57 and 256.67

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Solution

The fourth proportional to 263.35, 394.57 and 256.67 is: 384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.35 : 394.57 = 256.67 : x
  2. Step 2: Convert to fraction form
    263.35/394.57 = 256.67/x
  3. Step 3: Cross multiply
    263.35x = 394.57 × 256.67
  4. Step 4: Simplify right side
    263.35x = 101,274.11
  5. Step 5: Solve for x
    x = 101,274.11/263.35
  6. Step 6: Final answer
    x = 384.56

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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.