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Finding the Fourth Proportional to 652.20, 899.96 and 372.38

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Solution

The fourth proportional to 652.20, 899.96 and 372.38 is: 513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.20 : 899.96 = 372.38 : x
  2. Step 2: Convert to fraction form
    652.20/899.96 = 372.38/x
  3. Step 3: Cross multiply
    652.20x = 899.96 × 372.38
  4. Step 4: Simplify right side
    652.20x = 335,127.10
  5. Step 5: Solve for x
    x = 335,127.10/652.20
  6. Step 6: Final answer
    x = 513.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.