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Finding the Fourth Proportional to 378.84, 522.75 and 210.78

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Solution

The fourth proportional to 378.84, 522.75 and 210.78 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 522.75 = 210.78 : x
  2. Step 2: Convert to fraction form
    378.84/522.75 = 210.78/x
  3. Step 3: Cross multiply
    378.84x = 522.75 × 210.78
  4. Step 4: Simplify right side
    378.84x = 110,184.45
  5. Step 5: Solve for x
    x = 110,184.45/378.84
  6. Step 6: Final answer
    x = 290.85

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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.