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Finding the Fourth Proportional to 415.90, 573.81 and 256.39

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Solution

The fourth proportional to 415.90, 573.81 and 256.39 is: 353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.90 : 573.81 = 256.39 : x
  2. Step 2: Convert to fraction form
    415.90/573.81 = 256.39/x
  3. Step 3: Cross multiply
    415.90x = 573.81 × 256.39
  4. Step 4: Simplify right side
    415.90x = 147,119.15
  5. Step 5: Solve for x
    x = 147,119.15/415.90
  6. Step 6: Final answer
    x = 353.74

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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.