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Finding the Fourth Proportional to 500.46, 690 and 406.86

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Solution

The fourth proportional to 500.46, 690 and 406.86 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 690 = 406.86 : x
  2. Step 2: Convert to fraction form
    500.46/690 = 406.86/x
  3. Step 3: Cross multiply
    500.46x = 690 × 406.86
  4. Step 4: Simplify right side
    500.46x = 280,733.40
  5. Step 5: Solve for x
    x = 280,733.40/500.46
  6. Step 6: Final answer
    x = 560.95

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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.