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Finding the Fourth Proportional to 446.44, 615.99 and 259.83

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Solution

The fourth proportional to 446.44, 615.99 and 259.83 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.44 : 615.99 = 259.83 : x
  2. Step 2: Convert to fraction form
    446.44/615.99 = 259.83/x
  3. Step 3: Cross multiply
    446.44x = 615.99 × 259.83
  4. Step 4: Simplify right side
    446.44x = 160,055.02
  5. Step 5: Solve for x
    x = 160,055.02/446.44
  6. Step 6: Final answer
    x = 358.52

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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.