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Finding the Fourth Proportional to 435.90, 653.34 and 216.62

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Solution

The fourth proportional to 435.90, 653.34 and 216.62 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 653.34 = 216.62 : x
  2. Step 2: Convert to fraction form
    435.90/653.34 = 216.62/x
  3. Step 3: Cross multiply
    435.90x = 653.34 × 216.62
  4. Step 4: Simplify right side
    435.90x = 141,526.51
  5. Step 5: Solve for x
    x = 141,526.51/435.90
  6. Step 6: Final answer
    x = 324.68

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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.