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Finding the Fourth Proportional to 589.21, 812.50 and 506.59

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Solution

The fourth proportional to 589.21, 812.50 and 506.59 is: 698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 812.50 = 506.59 : x
  2. Step 2: Convert to fraction form
    589.21/812.50 = 506.59/x
  3. Step 3: Cross multiply
    589.21x = 812.50 × 506.59
  4. Step 4: Simplify right side
    589.21x = 411,604.38
  5. Step 5: Solve for x
    x = 411,604.38/589.21
  6. Step 6: Final answer
    x = 698.57

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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.