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Finding the Fourth Proportional to 556.07, 766.87 and 379.30

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Solution

The fourth proportional to 556.07, 766.87 and 379.30 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 766.87 = 379.30 : x
  2. Step 2: Convert to fraction form
    556.07/766.87 = 379.30/x
  3. Step 3: Cross multiply
    556.07x = 766.87 × 379.30
  4. Step 4: Simplify right side
    556.07x = 290,868.06
  5. Step 5: Solve for x
    x = 290,868.06/556.07
  6. Step 6: Final answer
    x = 523.08

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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.