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Finding the Fourth Proportional to 444.58, 613.49 and 258.07

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Solution

The fourth proportional to 444.58, 613.49 and 258.07 is: 356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.58 : 613.49 = 258.07 : x
  2. Step 2: Convert to fraction form
    444.58/613.49 = 258.07/x
  3. Step 3: Cross multiply
    444.58x = 613.49 × 258.07
  4. Step 4: Simplify right side
    444.58x = 158,323.36
  5. Step 5: Solve for x
    x = 158,323.36/444.58
  6. Step 6: Final answer
    x = 356.12

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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.