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Finding the Fourth Proportional to 473.23, 709.70 and 412.48

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Solution

The fourth proportional to 473.23, 709.70 and 412.48 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 709.70 = 412.48 : x
  2. Step 2: Convert to fraction form
    473.23/709.70 = 412.48/x
  3. Step 3: Cross multiply
    473.23x = 709.70 × 412.48
  4. Step 4: Simplify right side
    473.23x = 292,735.88
  5. Step 5: Solve for x
    x = 292,735.88/473.23
  6. Step 6: Final answer
    x = 618.59

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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.