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Finding the Fourth Proportional to 473.63, 709.25 and 371.45

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Solution

The fourth proportional to 473.63, 709.25 and 371.45 is: 556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.63 : 709.25 = 371.45 : x
  2. Step 2: Convert to fraction form
    473.63/709.25 = 371.45/x
  3. Step 3: Cross multiply
    473.63x = 709.25 × 371.45
  4. Step 4: Simplify right side
    473.63x = 263,450.83
  5. Step 5: Solve for x
    x = 263,450.83/473.63
  6. Step 6: Final answer
    x = 556.23

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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.