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Finding the Fourth Proportional to 521.22, 719.56 and 403.42

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Solution

The fourth proportional to 521.22, 719.56 and 403.42 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 719.56 = 403.42 : x
  2. Step 2: Convert to fraction form
    521.22/719.56 = 403.42/x
  3. Step 3: Cross multiply
    521.22x = 719.56 × 403.42
  4. Step 4: Simplify right side
    521.22x = 290,284.90
  5. Step 5: Solve for x
    x = 290,284.90/521.22
  6. Step 6: Final answer
    x = 556.93

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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.