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Finding the Fourth Proportional to 577.72, 798.41 and 437.78

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Solution

The fourth proportional to 577.72, 798.41 and 437.78 is: 605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 798.41 = 437.78 : x
  2. Step 2: Convert to fraction form
    577.72/798.41 = 437.78/x
  3. Step 3: Cross multiply
    577.72x = 798.41 × 437.78
  4. Step 4: Simplify right side
    577.72x = 349,527.93
  5. Step 5: Solve for x
    x = 349,527.93/577.72
  6. Step 6: Final answer
    x = 605.01

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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.