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Finding the Fourth Proportional to 375.78, 518.76 and 288.84

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Solution

The fourth proportional to 375.78, 518.76 and 288.84 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 518.76 = 288.84 : x
  2. Step 2: Convert to fraction form
    375.78/518.76 = 288.84/x
  3. Step 3: Cross multiply
    375.78x = 518.76 × 288.84
  4. Step 4: Simplify right side
    375.78x = 149,838.64
  5. Step 5: Solve for x
    x = 149,838.64/375.78
  6. Step 6: Final answer
    x = 398.74

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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.