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Finding the Fourth Proportional to 354.78, 488.16 and 301.32

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Solution

The fourth proportional to 354.78, 488.16 and 301.32 is: 414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 488.16 = 301.32 : x
  2. Step 2: Convert to fraction form
    354.78/488.16 = 301.32/x
  3. Step 3: Cross multiply
    354.78x = 488.16 × 301.32
  4. Step 4: Simplify right side
    354.78x = 147,092.37
  5. Step 5: Solve for x
    x = 147,092.37/354.78
  6. Step 6: Final answer
    x = 414.60

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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.