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Finding the Fourth Proportional to 378.94, 567.50 and 256.84

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Solution

The fourth proportional to 378.94, 567.50 and 256.84 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 567.50 = 256.84 : x
  2. Step 2: Convert to fraction form
    378.94/567.50 = 256.84/x
  3. Step 3: Cross multiply
    378.94x = 567.50 × 256.84
  4. Step 4: Simplify right side
    378.94x = 145,756.70
  5. Step 5: Solve for x
    x = 145,756.70/378.94
  6. Step 6: Final answer
    x = 384.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.