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Finding the Fourth Proportional to 651.34, 899.04 and 389.53

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Solution

The fourth proportional to 651.34, 899.04 and 389.53 is: 537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.34 : 899.04 = 389.53 : x
  2. Step 2: Convert to fraction form
    651.34/899.04 = 389.53/x
  3. Step 3: Cross multiply
    651.34x = 899.04 × 389.53
  4. Step 4: Simplify right side
    651.34x = 350,203.05
  5. Step 5: Solve for x
    x = 350,203.05/651.34
  6. Step 6: Final answer
    x = 537.67

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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.