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Finding the Fourth Proportional to 465.35, 697.82 and 176.58

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Solution

The fourth proportional to 465.35, 697.82 and 176.58 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 697.82 = 176.58 : x
  2. Step 2: Convert to fraction form
    465.35/697.82 = 176.58/x
  3. Step 3: Cross multiply
    465.35x = 697.82 × 176.58
  4. Step 4: Simplify right side
    465.35x = 123,220.17
  5. Step 5: Solve for x
    x = 123,220.17/465.35
  6. Step 6: Final answer
    x = 264.79

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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.