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Finding the Fourth Proportional to 501.72, 752.55 and 193.56

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Solution

The fourth proportional to 501.72, 752.55 and 193.56 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.72 : 752.55 = 193.56 : x
  2. Step 2: Convert to fraction form
    501.72/752.55 = 193.56/x
  3. Step 3: Cross multiply
    501.72x = 752.55 × 193.56
  4. Step 4: Simplify right side
    501.72x = 145,663.58
  5. Step 5: Solve for x
    x = 145,663.58/501.72
  6. Step 6: Final answer
    x = 290.33

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Similar ratio
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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.