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Finding the Fourth Proportional to 630.51, 945.84 and 214.02

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Solution

The fourth proportional to 630.51, 945.84 and 214.02 is: 321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.51 : 945.84 = 214.02 : x
  2. Step 2: Convert to fraction form
    630.51/945.84 = 214.02/x
  3. Step 3: Cross multiply
    630.51x = 945.84 × 214.02
  4. Step 4: Simplify right side
    630.51x = 202,428.68
  5. Step 5: Solve for x
    x = 202,428.68/630.51
  6. Step 6: Final answer
    x = 321.06

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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.