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Finding the Fourth Proportional to 375.30, 517.58 and 301.60

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Solution

The fourth proportional to 375.30, 517.58 and 301.60 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 517.58 = 301.60 : x
  2. Step 2: Convert to fraction form
    375.30/517.58 = 301.60/x
  3. Step 3: Cross multiply
    375.30x = 517.58 × 301.60
  4. Step 4: Simplify right side
    375.30x = 156,102.13
  5. Step 5: Solve for x
    x = 156,102.13/375.30
  6. Step 6: Final answer
    x = 415.94

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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.