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Finding the Fourth Proportional to 484.79, 669.03 and 285.64

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Solution

The fourth proportional to 484.79, 669.03 and 285.64 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.79 : 669.03 = 285.64 : x
  2. Step 2: Convert to fraction form
    484.79/669.03 = 285.64/x
  3. Step 3: Cross multiply
    484.79x = 669.03 × 285.64
  4. Step 4: Simplify right side
    484.79x = 191,100.06
  5. Step 5: Solve for x
    x = 191,100.06/484.79
  6. Step 6: Final answer
    x = 394.19

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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.