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Finding the Fourth Proportional to 482.14, 664.16 and 457.44

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Solution

The fourth proportional to 482.14, 664.16 and 457.44 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 664.16 = 457.44 : x
  2. Step 2: Convert to fraction form
    482.14/664.16 = 457.44/x
  3. Step 3: Cross multiply
    482.14x = 664.16 × 457.44
  4. Step 4: Simplify right side
    482.14x = 303,813.35
  5. Step 5: Solve for x
    x = 303,813.35/482.14
  6. Step 6: Final answer
    x = 630.14

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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.