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Finding the Fourth Proportional to 446.32, 615.90 and 259.82

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Solution

The fourth proportional to 446.32, 615.90 and 259.82 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 615.90 = 259.82 : x
  2. Step 2: Convert to fraction form
    446.32/615.90 = 259.82/x
  3. Step 3: Cross multiply
    446.32x = 615.90 × 259.82
  4. Step 4: Simplify right side
    446.32x = 160,023.14
  5. Step 5: Solve for x
    x = 160,023.14/446.32
  6. Step 6: Final answer
    x = 358.54

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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.