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Finding the Fourth Proportional to 589.60, 813.50 and 340.98

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Solution

The fourth proportional to 589.60, 813.50 and 340.98 is: 470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 813.50 = 340.98 : x
  2. Step 2: Convert to fraction form
    589.60/813.50 = 340.98/x
  3. Step 3: Cross multiply
    589.60x = 813.50 × 340.98
  4. Step 4: Simplify right side
    589.60x = 277,387.23
  5. Step 5: Solve for x
    x = 277,387.23/589.60
  6. Step 6: Final answer
    x = 470.47

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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.