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Finding the Fourth Proportional to 556.68, 768.12 and 473.68

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Solution

The fourth proportional to 556.68, 768.12 and 473.68 is: 653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 768.12 = 473.68 : x
  2. Step 2: Convert to fraction form
    556.68/768.12 = 473.68/x
  3. Step 3: Cross multiply
    556.68x = 768.12 × 473.68
  4. Step 4: Simplify right side
    556.68x = 363,843.08
  5. Step 5: Solve for x
    x = 363,843.08/556.68
  6. Step 6: Final answer
    x = 653.59

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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.