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Finding the Fourth Proportional to 589.44, 812.58 and 506.16

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Solution

The fourth proportional to 589.44, 812.58 and 506.16 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 812.58 = 506.16 : x
  2. Step 2: Convert to fraction form
    589.44/812.58 = 506.16/x
  3. Step 3: Cross multiply
    589.44x = 812.58 × 506.16
  4. Step 4: Simplify right side
    589.44x = 411,295.49
  5. Step 5: Solve for x
    x = 411,295.49/589.44
  6. Step 6: Final answer
    x = 697.77

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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.