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Finding the Fourth Proportional to 302.06, 415.95 and 280.28

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Solution

The fourth proportional to 302.06, 415.95 and 280.28 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.06 : 415.95 = 280.28 : x
  2. Step 2: Convert to fraction form
    302.06/415.95 = 280.28/x
  3. Step 3: Cross multiply
    302.06x = 415.95 × 280.28
  4. Step 4: Simplify right side
    302.06x = 116,582.47
  5. Step 5: Solve for x
    x = 116,582.47/302.06
  6. Step 6: Final answer
    x = 385.96

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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.