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Finding the Fourth Proportional to 425.36, 637.68 and 208.52

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Solution

The fourth proportional to 425.36, 637.68 and 208.52 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.36 : 637.68 = 208.52 : x
  2. Step 2: Convert to fraction form
    425.36/637.68 = 208.52/x
  3. Step 3: Cross multiply
    425.36x = 637.68 × 208.52
  4. Step 4: Simplify right side
    425.36x = 132,969.03
  5. Step 5: Solve for x
    x = 132,969.03/425.36
  6. Step 6: Final answer
    x = 312.60

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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.