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Finding the Fourth Proportional to 482.08, 665.04 and 344.16

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Solution

The fourth proportional to 482.08, 665.04 and 344.16 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.08 : 665.04 = 344.16 : x
  2. Step 2: Convert to fraction form
    482.08/665.04 = 344.16/x
  3. Step 3: Cross multiply
    482.08x = 665.04 × 344.16
  4. Step 4: Simplify right side
    482.08x = 228,880.17
  5. Step 5: Solve for x
    x = 228,880.17/482.08
  6. Step 6: Final answer
    x = 474.78

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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.