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Finding the Fourth Proportional to 435.18, 652.33 and 175.13

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Solution

The fourth proportional to 435.18, 652.33 and 175.13 is: 262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.18 : 652.33 = 175.13 : x
  2. Step 2: Convert to fraction form
    435.18/652.33 = 175.13/x
  3. Step 3: Cross multiply
    435.18x = 652.33 × 175.13
  4. Step 4: Simplify right side
    435.18x = 114,244.73
  5. Step 5: Solve for x
    x = 114,244.73/435.18
  6. Step 6: Final answer
    x = 262.52

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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.