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Finding the Fourth Proportional to 378.84, 522.54 and 266.64

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Solution

The fourth proportional to 378.84, 522.54 and 266.64 is: 367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 522.54 = 266.64 : x
  2. Step 2: Convert to fraction form
    378.84/522.54 = 266.64/x
  3. Step 3: Cross multiply
    378.84x = 522.54 × 266.64
  4. Step 4: Simplify right side
    378.84x = 139,330.07
  5. Step 5: Solve for x
    x = 139,330.07/378.84
  6. Step 6: Final answer
    x = 367.78

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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.