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Finding the Fourth Proportional to 506.09, 697.14 and 365.81

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Solution

The fourth proportional to 506.09, 697.14 and 365.81 is: 503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 697.14 = 365.81 : x
  2. Step 2: Convert to fraction form
    506.09/697.14 = 365.81/x
  3. Step 3: Cross multiply
    506.09x = 697.14 × 365.81
  4. Step 4: Simplify right side
    506.09x = 255,017.30
  5. Step 5: Solve for x
    x = 255,017.30/506.09
  6. Step 6: Final answer
    x = 503.90

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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.