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Finding the Fourth Proportional to 521.60, 719.80 and 288.72

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Solution

The fourth proportional to 521.60, 719.80 and 288.72 is: 398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.60 : 719.80 = 288.72 : x
  2. Step 2: Convert to fraction form
    521.60/719.80 = 288.72/x
  3. Step 3: Cross multiply
    521.60x = 719.80 × 288.72
  4. Step 4: Simplify right side
    521.60x = 207,819.93
  5. Step 5: Solve for x
    x = 207,819.93/521.60
  6. Step 6: Final answer
    x = 398.43

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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.