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Finding the Fourth Proportional to 375.08, 517.62 and 258.68

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Solution

The fourth proportional to 375.08, 517.62 and 258.68 is: 356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.08 : 517.62 = 258.68 : x
  2. Step 2: Convert to fraction form
    375.08/517.62 = 258.68/x
  3. Step 3: Cross multiply
    375.08x = 517.62 × 258.68
  4. Step 4: Simplify right side
    375.08x = 133,897.94
  5. Step 5: Solve for x
    x = 133,897.94/375.08
  6. Step 6: Final answer
    x = 356.99

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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.