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Finding the Fourth Proportional to 473.87, 710.09 and 319.23

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Solution

The fourth proportional to 473.87, 710.09 and 319.23 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.87 : 710.09 = 319.23 : x
  2. Step 2: Convert to fraction form
    473.87/710.09 = 319.23/x
  3. Step 3: Cross multiply
    473.87x = 710.09 × 319.23
  4. Step 4: Simplify right side
    473.87x = 226,680.43
  5. Step 5: Solve for x
    x = 226,680.43/473.87
  6. Step 6: Final answer
    x = 478.37

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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.