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Finding the Fourth Proportional to 589.54, 813.56 and 340.84

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Solution

The fourth proportional to 589.54, 813.56 and 340.84 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.54 : 813.56 = 340.84 : x
  2. Step 2: Convert to fraction form
    589.54/813.56 = 340.84/x
  3. Step 3: Cross multiply
    589.54x = 813.56 × 340.84
  4. Step 4: Simplify right side
    589.54x = 277,293.79
  5. Step 5: Solve for x
    x = 277,293.79/589.54
  6. Step 6: Final answer
    x = 470.36

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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.