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Finding the Fourth Proportional to 521.26, 782.34 and 290.38

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Solution

The fourth proportional to 521.26, 782.34 and 290.38 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 782.34 = 290.38 : x
  2. Step 2: Convert to fraction form
    521.26/782.34 = 290.38/x
  3. Step 3: Cross multiply
    521.26x = 782.34 × 290.38
  4. Step 4: Simplify right side
    521.26x = 227,175.89
  5. Step 5: Solve for x
    x = 227,175.89/521.26
  6. Step 6: Final answer
    x = 435.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.