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Finding the Fourth Proportional to 484.80, 669.12 and 288.48

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Solution

The fourth proportional to 484.80, 669.12 and 288.48 is: 398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.80 : 669.12 = 288.48 : x
  2. Step 2: Convert to fraction form
    484.80/669.12 = 288.48/x
  3. Step 3: Cross multiply
    484.80x = 669.12 × 288.48
  4. Step 4: Simplify right side
    484.80x = 193,027.74
  5. Step 5: Solve for x
    x = 193,027.74/484.80
  6. Step 6: Final answer
    x = 398.16

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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.