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Finding the Fourth Proportional to 646.56, 892.26 and 384.54

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Solution

The fourth proportional to 646.56, 892.26 and 384.54 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.26 = 384.54 : x
  2. Step 2: Convert to fraction form
    646.56/892.26 = 384.54/x
  3. Step 3: Cross multiply
    646.56x = 892.26 × 384.54
  4. Step 4: Simplify right side
    646.56x = 343,109.66
  5. Step 5: Solve for x
    x = 343,109.66/646.56
  6. Step 6: Final answer
    x = 530.67

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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.