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Finding the Fourth Proportional to 651.57, 899.10 and 389.55

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Solution

The fourth proportional to 651.57, 899.10 and 389.55 is: 537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 899.10 = 389.55 : x
  2. Step 2: Convert to fraction form
    651.57/899.10 = 389.55/x
  3. Step 3: Cross multiply
    651.57x = 899.10 × 389.55
  4. Step 4: Simplify right side
    651.57x = 350,244.41
  5. Step 5: Solve for x
    x = 350,244.41/651.57
  6. Step 6: Final answer
    x = 537.54

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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.