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Finding the Fourth Proportional to 501.93, 753.00 and 193.73

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Solution

The fourth proportional to 501.93, 753.00 and 193.73 is: 290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.93 : 753.00 = 193.73 : x
  2. Step 2: Convert to fraction form
    501.93/753.00 = 193.73/x
  3. Step 3: Cross multiply
    501.93x = 753.00 × 193.73
  4. Step 4: Simplify right side
    501.93x = 145,874.20
  5. Step 5: Solve for x
    x = 145,874.20/501.93
  6. Step 6: Final answer
    x = 290.63

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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.