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Finding the Fourth Proportional to 473.94, 709.86 and 290.78

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Solution

The fourth proportional to 473.94, 709.86 and 290.78 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 709.86 = 290.78 : x
  2. Step 2: Convert to fraction form
    473.94/709.86 = 290.78/x
  3. Step 3: Cross multiply
    473.94x = 709.86 × 290.78
  4. Step 4: Simplify right side
    473.94x = 206,409.54
  5. Step 5: Solve for x
    x = 206,409.54/473.94
  6. Step 6: Final answer
    x = 435.52

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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.