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Finding the Fourth Proportional to 589.61, 813.56 and 340.84

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Solution

The fourth proportional to 589.61, 813.56 and 340.84 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 813.56 = 340.84 : x
  2. Step 2: Convert to fraction form
    589.61/813.56 = 340.84/x
  3. Step 3: Cross multiply
    589.61x = 813.56 × 340.84
  4. Step 4: Simplify right side
    589.61x = 277,295.02
  5. Step 5: Solve for x
    x = 277,295.02/589.61
  6. Step 6: Final answer
    x = 470.30

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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.