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Finding the Fourth Proportional to 500.70, 750.02 and 256.88

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Solution

The fourth proportional to 500.70, 750.02 and 256.88 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.70 : 750.02 = 256.88 : x
  2. Step 2: Convert to fraction form
    500.70/750.02 = 256.88/x
  3. Step 3: Cross multiply
    500.70x = 750.02 × 256.88
  4. Step 4: Simplify right side
    500.70x = 192,665.14
  5. Step 5: Solve for x
    x = 192,665.14/500.70
  6. Step 6: Final answer
    x = 384.79

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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.