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Finding the Fourth Proportional to 444.10, 612.81 and 257.64

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Solution

The fourth proportional to 444.10, 612.81 and 257.64 is: 355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.10 : 612.81 = 257.64 : x
  2. Step 2: Convert to fraction form
    444.10/612.81 = 257.64/x
  3. Step 3: Cross multiply
    444.10x = 612.81 × 257.64
  4. Step 4: Simplify right side
    444.10x = 157,884.37
  5. Step 5: Solve for x
    x = 157,884.37/444.10
  6. Step 6: Final answer
    x = 355.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.