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Finding the Fourth Proportional to 556, 767.28 and 323.12

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Solution

The fourth proportional to 556, 767.28 and 323.12 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556 : 767.28 = 323.12 : x
  2. Step 2: Convert to fraction form
    556/767.28 = 323.12/x
  3. Step 3: Cross multiply
    556x = 767.28 × 323.12
  4. Step 4: Simplify right side
    556x = 247,923.51
  5. Step 5: Solve for x
    x = 247,923.51/556
  6. Step 6: Final answer
    x = 445.91

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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.