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Finding the Fourth Proportional to 995.58, 1,493.61 and 346.38

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Solution

The fourth proportional to 995.58, 1,493.61 and 346.38 is: 519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.58 : 1,493.61 = 346.38 : x
  2. Step 2: Convert to fraction form
    995.58/1,493.61 = 346.38/x
  3. Step 3: Cross multiply
    995.58x = 1,493.61 × 346.38
  4. Step 4: Simplify right side
    995.58x = 517,356.63
  5. Step 5: Solve for x
    x = 517,356.63/995.58
  6. Step 6: Final answer
    x = 519.65

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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.