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Finding the Fourth Proportional to 556.44, 833.04 and 409.68

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Solution

The fourth proportional to 556.44, 833.04 and 409.68 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.44 : 833.04 = 409.68 : x
  2. Step 2: Convert to fraction form
    556.44/833.04 = 409.68/x
  3. Step 3: Cross multiply
    556.44x = 833.04 × 409.68
  4. Step 4: Simplify right side
    556.44x = 341,279.83
  5. Step 5: Solve for x
    x = 341,279.83/556.44
  6. Step 6: Final answer
    x = 613.33

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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.