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Finding the Fourth Proportional to 446.68, 614.82 and 427.24

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Solution

The fourth proportional to 446.68, 614.82 and 427.24 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 614.82 = 427.24 : x
  2. Step 2: Convert to fraction form
    446.68/614.82 = 427.24/x
  3. Step 3: Cross multiply
    446.68x = 614.82 × 427.24
  4. Step 4: Simplify right side
    446.68x = 262,675.70
  5. Step 5: Solve for x
    x = 262,675.70/446.68
  6. Step 6: Final answer
    x = 588.06

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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.