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Finding the Fourth Proportional to 500.68, 750.62 and 176.28

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Solution

The fourth proportional to 500.68, 750.62 and 176.28 is: 264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 750.62 = 176.28 : x
  2. Step 2: Convert to fraction form
    500.68/750.62 = 176.28/x
  3. Step 3: Cross multiply
    500.68x = 750.62 × 176.28
  4. Step 4: Simplify right side
    500.68x = 132,315.93
  5. Step 5: Solve for x
    x = 132,315.93/500.68
  6. Step 6: Final answer
    x = 264.27

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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.