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Finding the Fourth Proportional to 465.36, 697.56 and 233.91

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Solution

The fourth proportional to 465.36, 697.56 and 233.91 is: 350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 697.56 = 233.91 : x
  2. Step 2: Convert to fraction form
    465.36/697.56 = 233.91/x
  3. Step 3: Cross multiply
    465.36x = 697.56 × 233.91
  4. Step 4: Simplify right side
    465.36x = 163,166.26
  5. Step 5: Solve for x
    x = 163,166.26/465.36
  6. Step 6: Final answer
    x = 350.62

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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.