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Finding the Fourth Proportional to 521.07, 719.17 and 300.15

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Solution

The fourth proportional to 521.07, 719.17 and 300.15 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.07 : 719.17 = 300.15 : x
  2. Step 2: Convert to fraction form
    521.07/719.17 = 300.15/x
  3. Step 3: Cross multiply
    521.07x = 719.17 × 300.15
  4. Step 4: Simplify right side
    521.07x = 215,857.20
  5. Step 5: Solve for x
    x = 215,857.20/521.07
  6. Step 6: Final answer
    x = 414.26

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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.