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Finding the Fourth Proportional to 556.48, 768.16 and 541.76

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Solution

The fourth proportional to 556.48, 768.16 and 541.76 is: 747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.48 : 768.16 = 541.76 : x
  2. Step 2: Convert to fraction form
    556.48/768.16 = 541.76/x
  3. Step 3: Cross multiply
    556.48x = 768.16 × 541.76
  4. Step 4: Simplify right side
    556.48x = 416,158.36
  5. Step 5: Solve for x
    x = 416,158.36/556.48
  6. Step 6: Final answer
    x = 747.84

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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.