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Finding the Fourth Proportional to 423.94, 634.09 and 307.06

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Solution

The fourth proportional to 423.94, 634.09 and 307.06 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 634.09 = 307.06 : x
  2. Step 2: Convert to fraction form
    423.94/634.09 = 307.06/x
  3. Step 3: Cross multiply
    423.94x = 634.09 × 307.06
  4. Step 4: Simplify right side
    423.94x = 194,703.68
  5. Step 5: Solve for x
    x = 194,703.68/423.94
  6. Step 6: Final answer
    x = 459.27

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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.