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Finding the Fourth Proportional to 500.08, 748.74 and 256.08

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Solution

The fourth proportional to 500.08, 748.74 and 256.08 is: 383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.08 : 748.74 = 256.08 : x
  2. Step 2: Convert to fraction form
    500.08/748.74 = 256.08/x
  3. Step 3: Cross multiply
    500.08x = 748.74 × 256.08
  4. Step 4: Simplify right side
    500.08x = 191,737.34
  5. Step 5: Solve for x
    x = 191,737.34/500.08
  6. Step 6: Final answer
    x = 383.41

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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.