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Finding the Fourth Proportional to 465.14, 697.58 and 176.52

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Solution

The fourth proportional to 465.14, 697.58 and 176.52 is: 264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.58 = 176.52 : x
  2. Step 2: Convert to fraction form
    465.14/697.58 = 176.52/x
  3. Step 3: Cross multiply
    465.14x = 697.58 × 176.52
  4. Step 4: Simplify right side
    465.14x = 123,136.82
  5. Step 5: Solve for x
    x = 123,136.82/465.14
  6. Step 6: Final answer
    x = 264.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.