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Finding the Fourth Proportional to 589.12, 812.80 and 340.41

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Solution

The fourth proportional to 589.12, 812.80 and 340.41 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 812.80 = 340.41 : x
  2. Step 2: Convert to fraction form
    589.12/812.80 = 340.41/x
  3. Step 3: Cross multiply
    589.12x = 812.80 × 340.41
  4. Step 4: Simplify right side
    589.12x = 276,685.25
  5. Step 5: Solve for x
    x = 276,685.25/589.12
  6. Step 6: Final answer
    x = 469.66

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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.