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Finding the Fourth Proportional to 500.56, 690.55 and 382.66

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Solution

The fourth proportional to 500.56, 690.55 and 382.66 is: 527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.56 : 690.55 = 382.66 : x
  2. Step 2: Convert to fraction form
    500.56/690.55 = 382.66/x
  3. Step 3: Cross multiply
    500.56x = 690.55 × 382.66
  4. Step 4: Simplify right side
    500.56x = 264,243.18
  5. Step 5: Solve for x
    x = 264,243.18/500.56
  6. Step 6: Final answer
    x = 527.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.