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Finding the Fourth Proportional to 589.26, 812.39 and 456.24

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Solution

The fourth proportional to 589.26, 812.39 and 456.24 is: 629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.26 : 812.39 = 456.24 : x
  2. Step 2: Convert to fraction form
    589.26/812.39 = 456.24/x
  3. Step 3: Cross multiply
    589.26x = 812.39 × 456.24
  4. Step 4: Simplify right side
    589.26x = 370,642.53
  5. Step 5: Solve for x
    x = 370,642.53/589.26
  6. Step 6: Final answer
    x = 629.00

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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.