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Finding the Fourth Proportional to 484.90, 669.36 and 288.42

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Solution

The fourth proportional to 484.90, 669.36 and 288.42 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.90 : 669.36 = 288.42 : x
  2. Step 2: Convert to fraction form
    484.90/669.36 = 288.42/x
  3. Step 3: Cross multiply
    484.90x = 669.36 × 288.42
  4. Step 4: Simplify right side
    484.90x = 193,056.81
  5. Step 5: Solve for x
    x = 193,056.81/484.90
  6. Step 6: Final answer
    x = 398.14

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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.