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Finding the Fourth Proportional to 556.89, 833.40 and 382.74

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Solution

The fourth proportional to 556.89, 833.40 and 382.74 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 833.40 = 382.74 : x
  2. Step 2: Convert to fraction form
    556.89/833.40 = 382.74/x
  3. Step 3: Cross multiply
    556.89x = 833.40 × 382.74
  4. Step 4: Simplify right side
    556.89x = 318,975.52
  5. Step 5: Solve for x
    x = 318,975.52/556.89
  6. Step 6: Final answer
    x = 572.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.