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Finding the Fourth Proportional to 521.84, 719.96 and 300.85

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Solution

The fourth proportional to 521.84, 719.96 and 300.85 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.84 : 719.96 = 300.85 : x
  2. Step 2: Convert to fraction form
    521.84/719.96 = 300.85/x
  3. Step 3: Cross multiply
    521.84x = 719.96 × 300.85
  4. Step 4: Simplify right side
    521.84x = 216,596.66
  5. Step 5: Solve for x
    x = 216,596.66/521.84
  6. Step 6: Final answer
    x = 415.06

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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.