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Finding the Fourth Proportional to 500.46, 690.78 and 325.77

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Solution

The fourth proportional to 500.46, 690.78 and 325.77 is: 449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 690.78 = 325.77 : x
  2. Step 2: Convert to fraction form
    500.46/690.78 = 325.77/x
  3. Step 3: Cross multiply
    500.46x = 690.78 × 325.77
  4. Step 4: Simplify right side
    500.46x = 225,035.40
  5. Step 5: Solve for x
    x = 225,035.40/500.46
  6. Step 6: Final answer
    x = 449.66

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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.