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Finding the Fourth Proportional to 421.94, 633.06 and 205.46

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Solution

The fourth proportional to 421.94, 633.06 and 205.46 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 633.06 = 205.46 : x
  2. Step 2: Convert to fraction form
    421.94/633.06 = 205.46/x
  3. Step 3: Cross multiply
    421.94x = 633.06 × 205.46
  4. Step 4: Simplify right side
    421.94x = 130,068.51
  5. Step 5: Solve for x
    x = 130,068.51/421.94
  6. Step 6: Final answer
    x = 308.26

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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.