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Finding the Fourth Proportional to 589.64, 813.74 and 341.01

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Solution

The fourth proportional to 589.64, 813.74 and 341.01 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 813.74 = 341.01 : x
  2. Step 2: Convert to fraction form
    589.64/813.74 = 341.01/x
  3. Step 3: Cross multiply
    589.64x = 813.74 × 341.01
  4. Step 4: Simplify right side
    589.64x = 277,493.48
  5. Step 5: Solve for x
    x = 277,493.48/589.64
  6. Step 6: Final answer
    x = 470.62

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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.