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Finding the Fourth Proportional to 446.46, 616 and 259.94

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Solution

The fourth proportional to 446.46, 616 and 259.94 is: 358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 616 = 259.94 : x
  2. Step 2: Convert to fraction form
    446.46/616 = 259.94/x
  3. Step 3: Cross multiply
    446.46x = 616 × 259.94
  4. Step 4: Simplify right side
    446.46x = 160,123.04
  5. Step 5: Solve for x
    x = 160,123.04/446.46
  6. Step 6: Final answer
    x = 358.65

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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.