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Finding the Fourth Proportional to 521.26, 719.38 and 288.42

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Solution

The fourth proportional to 521.26, 719.38 and 288.42 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 719.38 = 288.42 : x
  2. Step 2: Convert to fraction form
    521.26/719.38 = 288.42/x
  3. Step 3: Cross multiply
    521.26x = 719.38 × 288.42
  4. Step 4: Simplify right side
    521.26x = 207,483.58
  5. Step 5: Solve for x
    x = 207,483.58/521.26
  6. Step 6: Final answer
    x = 398.04

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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.