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Finding the Fourth Proportional to 494.01, 740.73 and 340.11

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Solution

The fourth proportional to 494.01, 740.73 and 340.11 is: 509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 740.73 = 340.11 : x
  2. Step 2: Convert to fraction form
    494.01/740.73 = 340.11/x
  3. Step 3: Cross multiply
    494.01x = 740.73 × 340.11
  4. Step 4: Simplify right side
    494.01x = 251,929.68
  5. Step 5: Solve for x
    x = 251,929.68/494.01
  6. Step 6: Final answer
    x = 509.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.