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Finding the Fourth Proportional to 521.74, 719.72 and 353.69

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Solution

The fourth proportional to 521.74, 719.72 and 353.69 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 719.72 = 353.69 : x
  2. Step 2: Convert to fraction form
    521.74/719.72 = 353.69/x
  3. Step 3: Cross multiply
    521.74x = 719.72 × 353.69
  4. Step 4: Simplify right side
    521.74x = 254,557.77
  5. Step 5: Solve for x
    x = 254,557.77/521.74
  6. Step 6: Final answer
    x = 487.90

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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.