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Finding the Fourth Proportional to 521.26, 780.99 and 502.30

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Solution

The fourth proportional to 521.26, 780.99 and 502.30 is: 752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 780.99 = 502.30 : x
  2. Step 2: Convert to fraction form
    521.26/780.99 = 502.30/x
  3. Step 3: Cross multiply
    521.26x = 780.99 × 502.30
  4. Step 4: Simplify right side
    521.26x = 392,291.28
  5. Step 5: Solve for x
    x = 392,291.28/521.26
  6. Step 6: Final answer
    x = 752.58

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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.