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Finding the Fourth Proportional to 628.51, 942.84 and 212.02

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Solution

The fourth proportional to 628.51, 942.84 and 212.02 is: 318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.51 : 942.84 = 212.02 : x
  2. Step 2: Convert to fraction form
    628.51/942.84 = 212.02/x
  3. Step 3: Cross multiply
    628.51x = 942.84 × 212.02
  4. Step 4: Simplify right side
    628.51x = 199,898.58
  5. Step 5: Solve for x
    x = 199,898.58/628.51
  6. Step 6: Final answer
    x = 318.05

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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.