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Finding the Fourth Proportional to 302.10, 450.97 and 280.74

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Solution

The fourth proportional to 302.10, 450.97 and 280.74 is: 419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.10 : 450.97 = 280.74 : x
  2. Step 2: Convert to fraction form
    302.10/450.97 = 280.74/x
  3. Step 3: Cross multiply
    302.10x = 450.97 × 280.74
  4. Step 4: Simplify right side
    302.10x = 126,605.04
  5. Step 5: Solve for x
    x = 126,605.04/302.10
  6. Step 6: Final answer
    x = 419.08

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Why These Related Problems?

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