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Finding the Fourth Proportional to 651.64, 899.34 and 371.94

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Solution

The fourth proportional to 651.64, 899.34 and 371.94 is: 513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.64 : 899.34 = 371.94 : x
  2. Step 2: Convert to fraction form
    651.64/899.34 = 371.94/x
  3. Step 3: Cross multiply
    651.64x = 899.34 × 371.94
  4. Step 4: Simplify right side
    651.64x = 334,496.02
  5. Step 5: Solve for x
    x = 334,496.02/651.64
  6. Step 6: Final answer
    x = 513.31

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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.