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Finding the Fourth Proportional to 378.68, 567.63 and 257.00

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Solution

The fourth proportional to 378.68, 567.63 and 257.00 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 567.63 = 257.00 : x
  2. Step 2: Convert to fraction form
    378.68/567.63 = 257.00/x
  3. Step 3: Cross multiply
    378.68x = 567.63 × 257.00
  4. Step 4: Simplify right side
    378.68x = 145,878.07
  5. Step 5: Solve for x
    x = 145,878.07/378.68
  6. Step 6: Final answer
    x = 385.23

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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.