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Finding the Fourth Proportional to 307.88, 462.78 and 290.60

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Solution

The fourth proportional to 307.88, 462.78 and 290.60 is: 436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 462.78 = 290.60 : x
  2. Step 2: Convert to fraction form
    307.88/462.78 = 290.60/x
  3. Step 3: Cross multiply
    307.88x = 462.78 × 290.60
  4. Step 4: Simplify right side
    307.88x = 134,483.87
  5. Step 5: Solve for x
    x = 134,483.87/307.88
  6. Step 6: Final answer
    x = 436.81

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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.