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Finding the Fourth Proportional to 652.32, 899.91 and 372.47

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Solution

The fourth proportional to 652.32, 899.91 and 372.47 is: 513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 899.91 = 372.47 : x
  2. Step 2: Convert to fraction form
    652.32/899.91 = 372.47/x
  3. Step 3: Cross multiply
    652.32x = 899.91 × 372.47
  4. Step 4: Simplify right side
    652.32x = 335,184.98
  5. Step 5: Solve for x
    x = 335,184.98/652.32
  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.