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Finding the Fourth Proportional to 652.09, 899.73 and 372.23

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Solution

The fourth proportional to 652.09, 899.73 and 372.23 is: 513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.09 : 899.73 = 372.23 : x
  2. Step 2: Convert to fraction form
    652.09/899.73 = 372.23/x
  3. Step 3: Cross multiply
    652.09x = 899.73 × 372.23
  4. Step 4: Simplify right side
    652.09x = 334,908.55
  5. Step 5: Solve for x
    x = 334,908.55/652.09
  6. Step 6: Final answer
    x = 513.60

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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.