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Finding the Fourth Proportional to 446.11, 615.60 and 259.65

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Solution

The fourth proportional to 446.11, 615.60 and 259.65 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.11 : 615.60 = 259.65 : x
  2. Step 2: Convert to fraction form
    446.11/615.60 = 259.65/x
  3. Step 3: Cross multiply
    446.11x = 615.60 × 259.65
  4. Step 4: Simplify right side
    446.11x = 159,840.54
  5. Step 5: Solve for x
    x = 159,840.54/446.11
  6. Step 6: Final answer
    x = 358.30

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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.