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Finding the Fourth Proportional to 930.86, 1,395.08 and 411

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Solution

The fourth proportional to 930.86, 1,395.08 and 411 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.86 : 1,395.08 = 411 : x
  2. Step 2: Convert to fraction form
    930.86/1,395.08 = 411/x
  3. Step 3: Cross multiply
    930.86x = 1,395.08 × 411
  4. Step 4: Simplify right side
    930.86x = 573,377.88
  5. Step 5: Solve for x
    x = 573,377.88/930.86
  6. Step 6: Final answer
    x = 615.97

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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.