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Finding the Fourth Proportional to 521.92, 719.67 and 355.84

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Solution

The fourth proportional to 521.92, 719.67 and 355.84 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 719.67 = 355.84 : x
  2. Step 2: Convert to fraction form
    521.92/719.67 = 355.84/x
  3. Step 3: Cross multiply
    521.92x = 719.67 × 355.84
  4. Step 4: Simplify right side
    521.92x = 256,087.37
  5. Step 5: Solve for x
    x = 256,087.37/521.92
  6. Step 6: Final answer
    x = 490.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.