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Finding the Fourth Proportional to 482.34, 665.64 and 295.90

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Solution

The fourth proportional to 482.34, 665.64 and 295.90 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.34 : 665.64 = 295.90 : x
  2. Step 2: Convert to fraction form
    482.34/665.64 = 295.90/x
  3. Step 3: Cross multiply
    482.34x = 665.64 × 295.90
  4. Step 4: Simplify right side
    482.34x = 196,962.88
  5. Step 5: Solve for x
    x = 196,962.88/482.34
  6. Step 6: Final answer
    x = 408.35

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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.