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Finding the Fourth Proportional to 538.41, 807.63 and 522.63

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Solution

The fourth proportional to 538.41, 807.63 and 522.63 is: 783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 807.63 = 522.63 : x
  2. Step 2: Convert to fraction form
    538.41/807.63 = 522.63/x
  3. Step 3: Cross multiply
    538.41x = 807.63 × 522.63
  4. Step 4: Simplify right side
    538.41x = 422,091.67
  5. Step 5: Solve for x
    x = 422,091.67/538.41
  6. Step 6: Final answer
    x = 783.96

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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.