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Finding the Fourth Proportional to 650.12, 897.09 and 384.54

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Solution

The fourth proportional to 650.12, 897.09 and 384.54 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 897.09 = 384.54 : x
  2. Step 2: Convert to fraction form
    650.12/897.09 = 384.54/x
  3. Step 3: Cross multiply
    650.12x = 897.09 × 384.54
  4. Step 4: Simplify right side
    650.12x = 344,966.99
  5. Step 5: Solve for x
    x = 344,966.99/650.12
  6. Step 6: Final answer
    x = 530.62

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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.