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Finding the Fourth Proportional to 307.77, 423.74 and 292.38

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Solution

The fourth proportional to 307.77, 423.74 and 292.38 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 423.74 = 292.38 : x
  2. Step 2: Convert to fraction form
    307.77/423.74 = 292.38/x
  3. Step 3: Cross multiply
    307.77x = 423.74 × 292.38
  4. Step 4: Simplify right side
    307.77x = 123,893.83
  5. Step 5: Solve for x
    x = 123,893.83/307.77
  6. Step 6: Final answer
    x = 402.55

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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.