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Finding the Fourth Proportional to 521.62, 719.73 and 314.74

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Solution

The fourth proportional to 521.62, 719.73 and 314.74 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.62 : 719.73 = 314.74 : x
  2. Step 2: Convert to fraction form
    521.62/719.73 = 314.74/x
  3. Step 3: Cross multiply
    521.62x = 719.73 × 314.74
  4. Step 4: Simplify right side
    521.62x = 226,527.82
  5. Step 5: Solve for x
    x = 226,527.82/521.62
  6. Step 6: Final answer
    x = 434.28

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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.