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Finding the Fourth Proportional to 500.46, 750.84 and 192.32

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Solution

The fourth proportional to 500.46, 750.84 and 192.32 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 750.84 = 192.32 : x
  2. Step 2: Convert to fraction form
    500.46/750.84 = 192.32/x
  3. Step 3: Cross multiply
    500.46x = 750.84 × 192.32
  4. Step 4: Simplify right side
    500.46x = 144,401.55
  5. Step 5: Solve for x
    x = 144,401.55/500.46
  6. Step 6: Final answer
    x = 288.54

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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.