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Finding the Fourth Proportional to 583.86, 806.13 and 473.57

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Solution

The fourth proportional to 583.86, 806.13 and 473.57 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 806.13 = 473.57 : x
  2. Step 2: Convert to fraction form
    583.86/806.13 = 473.57/x
  3. Step 3: Cross multiply
    583.86x = 806.13 × 473.57
  4. Step 4: Simplify right side
    583.86x = 381,754.95
  5. Step 5: Solve for x
    x = 381,754.95/583.86
  6. Step 6: Final answer
    x = 653.85

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