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Finding the Fourth Proportional to 484.59, 669.08 and 298.14

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Solution

The fourth proportional to 484.59, 669.08 and 298.14 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.59 : 669.08 = 298.14 : x
  2. Step 2: Convert to fraction form
    484.59/669.08 = 298.14/x
  3. Step 3: Cross multiply
    484.59x = 669.08 × 298.14
  4. Step 4: Simplify right side
    484.59x = 199,476.07
  5. Step 5: Solve for x
    x = 199,476.07/484.59
  6. Step 6: Final answer
    x = 411.64

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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.