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Finding the Fourth Proportional to 589.68, 813.83 and 340.91

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Solution

The fourth proportional to 589.68, 813.83 and 340.91 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 813.83 = 340.91 : x
  2. Step 2: Convert to fraction form
    589.68/813.83 = 340.91/x
  3. Step 3: Cross multiply
    589.68x = 813.83 × 340.91
  4. Step 4: Simplify right side
    589.68x = 277,442.79
  5. Step 5: Solve for x
    x = 277,442.79/589.68
  6. Step 6: Final answer
    x = 470.50

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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.