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Finding the Fourth Proportional to 500.29, 750.81 and 256.57

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Solution

The fourth proportional to 500.29, 750.81 and 256.57 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.29 : 750.81 = 256.57 : x
  2. Step 2: Convert to fraction form
    500.29/750.81 = 256.57/x
  3. Step 3: Cross multiply
    500.29x = 750.81 × 256.57
  4. Step 4: Simplify right side
    500.29x = 192,635.32
  5. Step 5: Solve for x
    x = 192,635.32/500.29
  6. Step 6: Final answer
    x = 385.05

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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.