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Finding the Fourth Proportional to 427.16, 589.20 and 302.96

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Solution

The fourth proportional to 427.16, 589.20 and 302.96 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.16 : 589.20 = 302.96 : x
  2. Step 2: Convert to fraction form
    427.16/589.20 = 302.96/x
  3. Step 3: Cross multiply
    427.16x = 589.20 × 302.96
  4. Step 4: Simplify right side
    427.16x = 178,504.03
  5. Step 5: Solve for x
    x = 178,504.03/427.16
  6. Step 6: Final answer
    x = 417.89

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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.