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Finding the Fourth Proportional to 375.57, 518.81 and 357.35

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Solution

The fourth proportional to 375.57, 518.81 and 357.35 is: 493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.57 : 518.81 = 357.35 : x
  2. Step 2: Convert to fraction form
    375.57/518.81 = 357.35/x
  3. Step 3: Cross multiply
    375.57x = 518.81 × 357.35
  4. Step 4: Simplify right side
    375.57x = 185,392.37
  5. Step 5: Solve for x
    x = 185,392.37/375.57
  6. Step 6: Final answer
    x = 493.63

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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.