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Finding the Fourth Proportional to 375.88, 519.12 and 258.16

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Solution

The fourth proportional to 375.88, 519.12 and 258.16 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.88 : 519.12 = 258.16 : x
  2. Step 2: Convert to fraction form
    375.88/519.12 = 258.16/x
  3. Step 3: Cross multiply
    375.88x = 519.12 × 258.16
  4. Step 4: Simplify right side
    375.88x = 134,015.70
  5. Step 5: Solve for x
    x = 134,015.70/375.88
  6. Step 6: Final answer
    x = 356.54

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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.