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Finding the Fourth Proportional to 589.12, 812.84 and 340.43

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Solution

The fourth proportional to 589.12, 812.84 and 340.43 is: 469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 812.84 = 340.43 : x
  2. Step 2: Convert to fraction form
    589.12/812.84 = 340.43/x
  3. Step 3: Cross multiply
    589.12x = 812.84 × 340.43
  4. Step 4: Simplify right side
    589.12x = 276,711.64
  5. Step 5: Solve for x
    x = 276,711.64/589.12
  6. Step 6: Final answer
    x = 469.70

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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.