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Finding the Fourth Proportional to 521.51, 719.61 and 300.44

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Solution

The fourth proportional to 521.51, 719.61 and 300.44 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.51 : 719.61 = 300.44 : x
  2. Step 2: Convert to fraction form
    521.51/719.61 = 300.44/x
  3. Step 3: Cross multiply
    521.51x = 719.61 × 300.44
  4. Step 4: Simplify right side
    521.51x = 216,199.63
  5. Step 5: Solve for x
    x = 216,199.63/521.51
  6. Step 6: Final answer
    x = 414.56

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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.