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Finding the Fourth Proportional to 407.66, 611.37 and 176.60

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Solution

The fourth proportional to 407.66, 611.37 and 176.60 is: 264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 611.37 = 176.60 : x
  2. Step 2: Convert to fraction form
    407.66/611.37 = 176.60/x
  3. Step 3: Cross multiply
    407.66x = 611.37 × 176.60
  4. Step 4: Simplify right side
    407.66x = 107,964.89
  5. Step 5: Solve for x
    x = 107,964.89/407.66
  6. Step 6: Final answer
    x = 264.84

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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.