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Finding the Fourth Proportional to 473.87, 709.65 and 336.27

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Solution

The fourth proportional to 473.87, 709.65 and 336.27 is: 503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.87 : 709.65 = 336.27 : x
  2. Step 2: Convert to fraction form
    473.87/709.65 = 336.27/x
  3. Step 3: Cross multiply
    473.87x = 709.65 × 336.27
  4. Step 4: Simplify right side
    473.87x = 238,634.01
  5. Step 5: Solve for x
    x = 238,634.01/473.87
  6. Step 6: Final answer
    x = 503.59

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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.