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Finding the Fourth Proportional to 630.27, 942.63 and 474.48

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Solution

The fourth proportional to 630.27, 942.63 and 474.48 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.27 : 942.63 = 474.48 : x
  2. Step 2: Convert to fraction form
    630.27/942.63 = 474.48/x
  3. Step 3: Cross multiply
    630.27x = 942.63 × 474.48
  4. Step 4: Simplify right side
    630.27x = 447,259.08
  5. Step 5: Solve for x
    x = 447,259.08/630.27
  6. Step 6: Final answer
    x = 709.63

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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.