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Finding the Fourth Proportional to 482.48, 667.62 and 412.40

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Solution

The fourth proportional to 482.48, 667.62 and 412.40 is: 570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.48 : 667.62 = 412.40 : x
  2. Step 2: Convert to fraction form
    482.48/667.62 = 412.40/x
  3. Step 3: Cross multiply
    482.48x = 667.62 × 412.40
  4. Step 4: Simplify right side
    482.48x = 275,326.49
  5. Step 5: Solve for x
    x = 275,326.49/482.48
  6. Step 6: Final answer
    x = 570.65

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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.