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Finding the Fourth Proportional to 460.36, 688.64 and 349.84

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Solution

The fourth proportional to 460.36, 688.64 and 349.84 is: 523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 688.64 = 349.84 : x
  2. Step 2: Convert to fraction form
    460.36/688.64 = 349.84/x
  3. Step 3: Cross multiply
    460.36x = 688.64 × 349.84
  4. Step 4: Simplify right side
    460.36x = 240,913.82
  5. Step 5: Solve for x
    x = 240,913.82/460.36
  6. Step 6: Final answer
    x = 523.32

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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.