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Finding the Fourth Proportional to 425.04, 637.64 and 208.48

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Solution

The fourth proportional to 425.04, 637.64 and 208.48 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 637.64 = 208.48 : x
  2. Step 2: Convert to fraction form
    425.04/637.64 = 208.48/x
  3. Step 3: Cross multiply
    425.04x = 637.64 × 208.48
  4. Step 4: Simplify right side
    425.04x = 132,935.19
  5. Step 5: Solve for x
    x = 132,935.19/425.04
  6. Step 6: Final answer
    x = 312.76

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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.