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Finding the Fourth Proportional to 484.96, 668.64 and 386.14

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Solution

The fourth proportional to 484.96, 668.64 and 386.14 is: 532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 668.64 = 386.14 : x
  2. Step 2: Convert to fraction form
    484.96/668.64 = 386.14/x
  3. Step 3: Cross multiply
    484.96x = 668.64 × 386.14
  4. Step 4: Simplify right side
    484.96x = 258,188.65
  5. Step 5: Solve for x
    x = 258,188.65/484.96
  6. Step 6: Final answer
    x = 532.39

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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.