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Finding the Fourth Proportional to 926.83, 1,390.29 and 277.57

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Solution

The fourth proportional to 926.83, 1,390.29 and 277.57 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.83 : 1,390.29 = 277.57 : x
  2. Step 2: Convert to fraction form
    926.83/1,390.29 = 277.57/x
  3. Step 3: Cross multiply
    926.83x = 1,390.29 × 277.57
  4. Step 4: Simplify right side
    926.83x = 385,902.80
  5. Step 5: Solve for x
    x = 385,902.80/926.83
  6. Step 6: Final answer
    x = 416.37

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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.