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Finding the Fourth Proportional to 646.60, 892.20 and 384.72

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Solution

The fourth proportional to 646.60, 892.20 and 384.72 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 892.20 = 384.72 : x
  2. Step 2: Convert to fraction form
    646.60/892.20 = 384.72/x
  3. Step 3: Cross multiply
    646.60x = 892.20 × 384.72
  4. Step 4: Simplify right side
    646.60x = 343,247.18
  5. Step 5: Solve for x
    x = 343,247.18/646.60
  6. Step 6: Final answer
    x = 530.85

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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.