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Finding the Fourth Proportional to 340.04, 465.89 and 335.48

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Solution

The fourth proportional to 340.04, 465.89 and 335.48 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.04 : 465.89 = 335.48 : x
  2. Step 2: Convert to fraction form
    340.04/465.89 = 335.48/x
  3. Step 3: Cross multiply
    340.04x = 465.89 × 335.48
  4. Step 4: Simplify right side
    340.04x = 156,296.78
  5. Step 5: Solve for x
    x = 156,296.78/340.04
  6. Step 6: Final answer
    x = 459.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.