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Finding the Fourth Proportional to 521.97, 782.63 and 359.47

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Solution

The fourth proportional to 521.97, 782.63 and 359.47 is: 538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 782.63 = 359.47 : x
  2. Step 2: Convert to fraction form
    521.97/782.63 = 359.47/x
  3. Step 3: Cross multiply
    521.97x = 782.63 × 359.47
  4. Step 4: Simplify right side
    521.97x = 281,332.01
  5. Step 5: Solve for x
    x = 281,332.01/521.97
  6. Step 6: Final answer
    x = 538.98

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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.