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Finding the Fourth Proportional to 483.43, 664.67 and 430.48

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Solution

The fourth proportional to 483.43, 664.67 and 430.48 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.43 : 664.67 = 430.48 : x
  2. Step 2: Convert to fraction form
    483.43/664.67 = 430.48/x
  3. Step 3: Cross multiply
    483.43x = 664.67 × 430.48
  4. Step 4: Simplify right side
    483.43x = 286,127.14
  5. Step 5: Solve for x
    x = 286,127.14/483.43
  6. Step 6: Final answer
    x = 591.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.