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Finding the Fourth Proportional to 500.54, 752.22 and 488.25

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Solution

The fourth proportional to 500.54, 752.22 and 488.25 is: 733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.54 : 752.22 = 488.25 : x
  2. Step 2: Convert to fraction form
    500.54/752.22 = 488.25/x
  3. Step 3: Cross multiply
    500.54x = 752.22 × 488.25
  4. Step 4: Simplify right side
    500.54x = 367,271.42
  5. Step 5: Solve for x
    x = 367,271.42/500.54
  6. Step 6: Final answer
    x = 733.76

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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.