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Finding the Fourth Proportional to 500.05, 749.50 and 256.29

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Solution

The fourth proportional to 500.05, 749.50 and 256.29 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.05 : 749.50 = 256.29 : x
  2. Step 2: Convert to fraction form
    500.05/749.50 = 256.29/x
  3. Step 3: Cross multiply
    500.05x = 749.50 × 256.29
  4. Step 4: Simplify right side
    500.05x = 192,089.45
  5. Step 5: Solve for x
    x = 192,089.45/500.05
  6. Step 6: Final answer
    x = 384.14

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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.