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Finding the Fourth Proportional to 444.65, 613.64 and 258.24

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Solution

The fourth proportional to 444.65, 613.64 and 258.24 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.65 : 613.64 = 258.24 : x
  2. Step 2: Convert to fraction form
    444.65/613.64 = 258.24/x
  3. Step 3: Cross multiply
    444.65x = 613.64 × 258.24
  4. Step 4: Simplify right side
    444.65x = 158,465.10
  5. Step 5: Solve for x
    x = 158,465.10/444.65
  6. Step 6: Final answer
    x = 356.39

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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.