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Finding the Fourth Proportional to 521.59, 719.74 and 288.71

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Solution

The fourth proportional to 521.59, 719.74 and 288.71 is: 398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.59 : 719.74 = 288.71 : x
  2. Step 2: Convert to fraction form
    521.59/719.74 = 288.71/x
  3. Step 3: Cross multiply
    521.59x = 719.74 × 288.71
  4. Step 4: Simplify right side
    521.59x = 207,796.14
  5. Step 5: Solve for x
    x = 207,796.14/521.59
  6. Step 6: Final answer
    x = 398.39

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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.