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Finding the Fourth Proportional to 598.26, 897.74 and 256.26

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Solution

The fourth proportional to 598.26, 897.74 and 256.26 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 897.74 = 256.26 : x
  2. Step 2: Convert to fraction form
    598.26/897.74 = 256.26/x
  3. Step 3: Cross multiply
    598.26x = 897.74 × 256.26
  4. Step 4: Simplify right side
    598.26x = 230,054.85
  5. Step 5: Solve for x
    x = 230,054.85/598.26
  6. Step 6: Final answer
    x = 384.54

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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.