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Finding the Fourth Proportional to 500.67, 750.33 and 256.59

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Solution

The fourth proportional to 500.67, 750.33 and 256.59 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 750.33 = 256.59 : x
  2. Step 2: Convert to fraction form
    500.67/750.33 = 256.59/x
  3. Step 3: Cross multiply
    500.67x = 750.33 × 256.59
  4. Step 4: Simplify right side
    500.67x = 192,527.17
  5. Step 5: Solve for x
    x = 192,527.17/500.67
  6. Step 6: Final answer
    x = 384.54

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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.