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Finding the Fourth Proportional to 407.29, 610.98 and 133.32

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Solution

The fourth proportional to 407.29, 610.98 and 133.32 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.29 : 610.98 = 133.32 : x
  2. Step 2: Convert to fraction form
    407.29/610.98 = 133.32/x
  3. Step 3: Cross multiply
    407.29x = 610.98 × 133.32
  4. Step 4: Simplify right side
    407.29x = 81,453.35
  5. Step 5: Solve for x
    x = 81,453.35/407.29
  6. Step 6: Final answer
    x = 199.99

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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.