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Finding the Fourth Proportional to 521.19, 719.10 and 410.49

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Solution

The fourth proportional to 521.19, 719.10 and 410.49 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 719.10 = 410.49 : x
  2. Step 2: Convert to fraction form
    521.19/719.10 = 410.49/x
  3. Step 3: Cross multiply
    521.19x = 719.10 × 410.49
  4. Step 4: Simplify right side
    521.19x = 295,183.36
  5. Step 5: Solve for x
    x = 295,183.36/521.19
  6. Step 6: Final answer
    x = 566.36

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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.