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Finding the Fourth Proportional to 589.59, 813.63 and 340.90

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Solution

The fourth proportional to 589.59, 813.63 and 340.90 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.59 : 813.63 = 340.90 : x
  2. Step 2: Convert to fraction form
    589.59/813.63 = 340.90/x
  3. Step 3: Cross multiply
    589.59x = 813.63 × 340.90
  4. Step 4: Simplify right side
    589.59x = 277,366.47
  5. Step 5: Solve for x
    x = 277,366.47/589.59
  6. Step 6: Final answer
    x = 470.44

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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.