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Finding the Fourth Proportional to 651.85, 899.57 and 372.06

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Solution

The fourth proportional to 651.85, 899.57 and 372.06 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.85 : 899.57 = 372.06 : x
  2. Step 2: Convert to fraction form
    651.85/899.57 = 372.06/x
  3. Step 3: Cross multiply
    651.85x = 899.57 × 372.06
  4. Step 4: Simplify right side
    651.85x = 334,694.94
  5. Step 5: Solve for x
    x = 334,694.94/651.85
  6. Step 6: Final answer
    x = 513.46

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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.