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Finding the Fourth Proportional to 556.20, 767.40 and 323.28

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Solution

The fourth proportional to 556.20, 767.40 and 323.28 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.20 : 767.40 = 323.28 : x
  2. Step 2: Convert to fraction form
    556.20/767.40 = 323.28/x
  3. Step 3: Cross multiply
    556.20x = 767.40 × 323.28
  4. Step 4: Simplify right side
    556.20x = 248,085.07
  5. Step 5: Solve for x
    x = 248,085.07/556.20
  6. Step 6: Final answer
    x = 446.04

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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.