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Finding the Fourth Proportional to 402.66, 605.00 and 256.47

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Solution

The fourth proportional to 402.66, 605.00 and 256.47 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.66 : 605.00 = 256.47 : x
  2. Step 2: Convert to fraction form
    402.66/605.00 = 256.47/x
  3. Step 3: Cross multiply
    402.66x = 605.00 × 256.47
  4. Step 4: Simplify right side
    402.66x = 155,163.07
  5. Step 5: Solve for x
    x = 155,163.07/402.66
  6. Step 6: Final answer
    x = 385.35

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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.