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Finding the Fourth Proportional to 446.60, 614.99 and 306.57

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Solution

The fourth proportional to 446.60, 614.99 and 306.57 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.60 : 614.99 = 306.57 : x
  2. Step 2: Convert to fraction form
    446.60/614.99 = 306.57/x
  3. Step 3: Cross multiply
    446.60x = 614.99 × 306.57
  4. Step 4: Simplify right side
    446.60x = 188,537.48
  5. Step 5: Solve for x
    x = 188,537.48/446.60
  6. Step 6: Final answer
    x = 422.16

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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.