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Finding the Fourth Proportional to 435.00, 652.44 and 142.63

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Solution

The fourth proportional to 435.00, 652.44 and 142.63 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.00 : 652.44 = 142.63 : x
  2. Step 2: Convert to fraction form
    435.00/652.44 = 142.63/x
  3. Step 3: Cross multiply
    435.00x = 652.44 × 142.63
  4. Step 4: Simplify right side
    435.00x = 93,055.35
  5. Step 5: Solve for x
    x = 93,055.35/435.00
  6. Step 6: Final answer
    x = 213.92

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Why These Related Problems?

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