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Finding the Fourth Proportional to 583.41, 806.19 and 473.46

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Solution

The fourth proportional to 583.41, 806.19 and 473.46 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 806.19 = 473.46 : x
  2. Step 2: Convert to fraction form
    583.41/806.19 = 473.46/x
  3. Step 3: Cross multiply
    583.41x = 806.19 × 473.46
  4. Step 4: Simplify right side
    583.41x = 381,698.72
  5. Step 5: Solve for x
    x = 381,698.72/583.41
  6. Step 6: Final answer
    x = 654.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.