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Finding the Fourth Proportional to 302.82, 456.18 and 299.04

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Solution

The fourth proportional to 302.82, 456.18 and 299.04 is: 450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.82 : 456.18 = 299.04 : x
  2. Step 2: Convert to fraction form
    302.82/456.18 = 299.04/x
  3. Step 3: Cross multiply
    302.82x = 456.18 × 299.04
  4. Step 4: Simplify right side
    302.82x = 136,416.07
  5. Step 5: Solve for x
    x = 136,416.07/302.82
  6. Step 6: Final answer
    x = 450.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.