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Finding the Fourth Proportional to 435.53, 653.03 and 171.67

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Solution

The fourth proportional to 435.53, 653.03 and 171.67 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.53 : 653.03 = 171.67 : x
  2. Step 2: Convert to fraction form
    435.53/653.03 = 171.67/x
  3. Step 3: Cross multiply
    435.53x = 653.03 × 171.67
  4. Step 4: Simplify right side
    435.53x = 112,105.66
  5. Step 5: Solve for x
    x = 112,105.66/435.53
  6. Step 6: Final answer
    x = 257.40

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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.