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Finding the Fourth Proportional to 407.77, 611.36 and 176.51

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Solution

The fourth proportional to 407.77, 611.36 and 176.51 is: 264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 611.36 = 176.51 : x
  2. Step 2: Convert to fraction form
    407.77/611.36 = 176.51/x
  3. Step 3: Cross multiply
    407.77x = 611.36 × 176.51
  4. Step 4: Simplify right side
    407.77x = 107,910.27
  5. Step 5: Solve for x
    x = 107,910.27/407.77
  6. Step 6: Final answer
    x = 264.64

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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.