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Finding the Fourth Proportional to 500.09, 750.33 and 353.61

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Solution

The fourth proportional to 500.09, 750.33 and 353.61 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 750.33 = 353.61 : x
  2. Step 2: Convert to fraction form
    500.09/750.33 = 353.61/x
  3. Step 3: Cross multiply
    500.09x = 750.33 × 353.61
  4. Step 4: Simplify right side
    500.09x = 265,324.19
  5. Step 5: Solve for x
    x = 265,324.19/500.09
  6. Step 6: Final answer
    x = 530.56

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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.