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Finding the Fourth Proportional to 650.16, 897.20 and 384.60

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Solution

The fourth proportional to 650.16, 897.20 and 384.60 is: 530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 897.20 = 384.60 : x
  2. Step 2: Convert to fraction form
    650.16/897.20 = 384.60/x
  3. Step 3: Cross multiply
    650.16x = 897.20 × 384.60
  4. Step 4: Simplify right side
    650.16x = 345,063.12
  5. Step 5: Solve for x
    x = 345,063.12/650.16
  6. Step 6: Final answer
    x = 530.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.