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Finding the Fourth Proportional to 506.21, 697.54 and 388.19

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Solution

The fourth proportional to 506.21, 697.54 and 388.19 is: 534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 697.54 = 388.19 : x
  2. Step 2: Convert to fraction form
    506.21/697.54 = 388.19/x
  3. Step 3: Cross multiply
    506.21x = 697.54 × 388.19
  4. Step 4: Simplify right side
    506.21x = 270,772.62
  5. Step 5: Solve for x
    x = 270,772.62/506.21
  6. Step 6: Final answer
    x = 534.90

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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.