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Finding the Fourth Proportional to 500.02, 749.33 and 256.03

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Solution

The fourth proportional to 500.02, 749.33 and 256.03 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 749.33 = 256.03 : x
  2. Step 2: Convert to fraction form
    500.02/749.33 = 256.03/x
  3. Step 3: Cross multiply
    500.02x = 749.33 × 256.03
  4. Step 4: Simplify right side
    500.02x = 191,845.93
  5. Step 5: Solve for x
    x = 191,845.93/500.02
  6. Step 6: Final answer
    x = 383.68

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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.