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Finding the Fourth Proportional to 446.32, 616 and 259.84

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Solution

The fourth proportional to 446.32, 616 and 259.84 is: 358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 616 = 259.84 : x
  2. Step 2: Convert to fraction form
    446.32/616 = 259.84/x
  3. Step 3: Cross multiply
    446.32x = 616 × 259.84
  4. Step 4: Simplify right side
    446.32x = 160,061.44
  5. Step 5: Solve for x
    x = 160,061.44/446.32
  6. Step 6: Final answer
    x = 358.62

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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.