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Finding the Fourth Proportional to 501.36, 752.24 and 176.76

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Solution

The fourth proportional to 501.36, 752.24 and 176.76 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 752.24 = 176.76 : x
  2. Step 2: Convert to fraction form
    501.36/752.24 = 176.76/x
  3. Step 3: Cross multiply
    501.36x = 752.24 × 176.76
  4. Step 4: Simplify right side
    501.36x = 132,965.94
  5. Step 5: Solve for x
    x = 132,965.94/501.36
  6. Step 6: Final answer
    x = 265.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.