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Finding the Fourth Proportional to 506.29, 697.67 and 366.16

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Solution

The fourth proportional to 506.29, 697.67 and 366.16 is: 504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 697.67 = 366.16 : x
  2. Step 2: Convert to fraction form
    506.29/697.67 = 366.16/x
  3. Step 3: Cross multiply
    506.29x = 697.67 × 366.16
  4. Step 4: Simplify right side
    506.29x = 255,458.85
  5. Step 5: Solve for x
    x = 255,458.85/506.29
  6. Step 6: Final answer
    x = 504.57

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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.