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Finding the Fourth Proportional to 482.38, 664.98 and 342.04

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Solution

The fourth proportional to 482.38, 664.98 and 342.04 is: 471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.38 : 664.98 = 342.04 : x
  2. Step 2: Convert to fraction form
    482.38/664.98 = 342.04/x
  3. Step 3: Cross multiply
    482.38x = 664.98 × 342.04
  4. Step 4: Simplify right side
    482.38x = 227,449.76
  5. Step 5: Solve for x
    x = 227,449.76/482.38
  6. Step 6: Final answer
    x = 471.52

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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.