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Finding the Fourth Proportional to 302.14, 454.16 and 262.05

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Solution

The fourth proportional to 302.14, 454.16 and 262.05 is: 393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 454.16 = 262.05 : x
  2. Step 2: Convert to fraction form
    302.14/454.16 = 262.05/x
  3. Step 3: Cross multiply
    302.14x = 454.16 × 262.05
  4. Step 4: Simplify right side
    302.14x = 119,012.63
  5. Step 5: Solve for x
    x = 119,012.63/302.14
  6. Step 6: Final answer
    x = 393.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.