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Finding the Fourth Proportional to 589.29, 813.34 and 340.59

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Solution

The fourth proportional to 589.29, 813.34 and 340.59 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.29 : 813.34 = 340.59 : x
  2. Step 2: Convert to fraction form
    589.29/813.34 = 340.59/x
  3. Step 3: Cross multiply
    589.29x = 813.34 × 340.59
  4. Step 4: Simplify right side
    589.29x = 277,015.47
  5. Step 5: Solve for x
    x = 277,015.47/589.29
  6. Step 6: Final answer
    x = 470.08

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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.