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Finding the Fourth Proportional to 577.74, 799.47 and 499.98

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Solution

The fourth proportional to 577.74, 799.47 and 499.98 is: 691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.74 : 799.47 = 499.98 : x
  2. Step 2: Convert to fraction form
    577.74/799.47 = 499.98/x
  3. Step 3: Cross multiply
    577.74x = 799.47 × 499.98
  4. Step 4: Simplify right side
    577.74x = 399,719.01
  5. Step 5: Solve for x
    x = 399,719.01/577.74
  6. Step 6: Final answer
    x = 691.87

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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.