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Finding the Fourth Proportional to 630.74, 945.92 and 415.46

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Solution

The fourth proportional to 630.74, 945.92 and 415.46 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.74 : 945.92 = 415.46 : x
  2. Step 2: Convert to fraction form
    630.74/945.92 = 415.46/x
  3. Step 3: Cross multiply
    630.74x = 945.92 × 415.46
  4. Step 4: Simplify right side
    630.74x = 392,991.92
  5. Step 5: Solve for x
    x = 392,991.92/630.74
  6. Step 6: Final answer
    x = 623.06

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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.