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Finding the Fourth Proportional to 995.45, 1,493.34 and 346.01

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Solution

The fourth proportional to 995.45, 1,493.34 and 346.01 is: 519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.45 : 1,493.34 = 346.01 : x
  2. Step 2: Convert to fraction form
    995.45/1,493.34 = 346.01/x
  3. Step 3: Cross multiply
    995.45x = 1,493.34 × 346.01
  4. Step 4: Simplify right side
    995.45x = 516,710.57
  5. Step 5: Solve for x
    x = 516,710.57/995.45
  6. Step 6: Final answer
    x = 519.07

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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.