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Finding the Fourth Proportional to 465.15, 697.73 and 176.59

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Solution

The fourth proportional to 465.15, 697.73 and 176.59 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.15 : 697.73 = 176.59 : x
  2. Step 2: Convert to fraction form
    465.15/697.73 = 176.59/x
  3. Step 3: Cross multiply
    465.15x = 697.73 × 176.59
  4. Step 4: Simplify right side
    465.15x = 123,212.79
  5. Step 5: Solve for x
    x = 123,212.79/465.15
  6. Step 6: Final answer
    x = 264.89

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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.