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Finding the Fourth Proportional to 400.44, 600.66 and 256.26

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Solution

The fourth proportional to 400.44, 600.66 and 256.26 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 600.66 = 256.26 : x
  2. Step 2: Convert to fraction form
    400.44/600.66 = 256.26/x
  3. Step 3: Cross multiply
    400.44x = 600.66 × 256.26
  4. Step 4: Simplify right side
    400.44x = 153,925.13
  5. Step 5: Solve for x
    x = 153,925.13/400.44
  6. Step 6: Final answer
    x = 384.39

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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.