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Finding the Fourth Proportional to 302.30, 451.25 and 279.75

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Solution

The fourth proportional to 302.30, 451.25 and 279.75 is: 417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 451.25 = 279.75 : x
  2. Step 2: Convert to fraction form
    302.30/451.25 = 279.75/x
  3. Step 3: Cross multiply
    302.30x = 451.25 × 279.75
  4. Step 4: Simplify right side
    302.30x = 126,237.19
  5. Step 5: Solve for x
    x = 126,237.19/302.30
  6. Step 6: Final answer
    x = 417.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.