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Finding the Fourth Proportional to 407.94, 612.66 and 261.98

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Solution

The fourth proportional to 407.94, 612.66 and 261.98 is: 393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.94 : 612.66 = 261.98 : x
  2. Step 2: Convert to fraction form
    407.94/612.66 = 261.98/x
  3. Step 3: Cross multiply
    407.94x = 612.66 × 261.98
  4. Step 4: Simplify right side
    407.94x = 160,508.33
  5. Step 5: Solve for x
    x = 160,508.33/407.94
  6. Step 6: Final answer
    x = 393.46

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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.