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Finding the Fourth Proportional to 307.83, 423.60 and 306.15

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Solution

The fourth proportional to 307.83, 423.60 and 306.15 is: 421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.83 : 423.60 = 306.15 : x
  2. Step 2: Convert to fraction form
    307.83/423.60 = 306.15/x
  3. Step 3: Cross multiply
    307.83x = 423.60 × 306.15
  4. Step 4: Simplify right side
    307.83x = 129,682.40
  5. Step 5: Solve for x
    x = 129,682.40/307.83
  6. Step 6: Final answer
    x = 421.27

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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.