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Finding the Fourth Proportional to 407.77, 610.02 and 339.43

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Solution

The fourth proportional to 407.77, 610.02 and 339.43 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 610.02 = 339.43 : x
  2. Step 2: Convert to fraction form
    407.77/610.02 = 339.43/x
  3. Step 3: Cross multiply
    407.77x = 610.02 × 339.43
  4. Step 4: Simplify right side
    407.77x = 207,059.09
  5. Step 5: Solve for x
    x = 207,059.09/407.77
  6. Step 6: Final answer
    x = 507.78

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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.