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Finding the Fourth Proportional to 521.67, 719.84 and 300.60

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Solution

The fourth proportional to 521.67, 719.84 and 300.60 is: 414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 719.84 = 300.60 : x
  2. Step 2: Convert to fraction form
    521.67/719.84 = 300.60/x
  3. Step 3: Cross multiply
    521.67x = 719.84 × 300.60
  4. Step 4: Simplify right side
    521.67x = 216,382.40
  5. Step 5: Solve for x
    x = 216,382.40/521.67
  6. Step 6: Final answer
    x = 414.79

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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.