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Finding the Fourth Proportional to 646.55, 892.10 and 384.51

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Solution

The fourth proportional to 646.55, 892.10 and 384.51 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.55 : 892.10 = 384.51 : x
  2. Step 2: Convert to fraction form
    646.55/892.10 = 384.51/x
  3. Step 3: Cross multiply
    646.55x = 892.10 × 384.51
  4. Step 4: Simplify right side
    646.55x = 343,019.45
  5. Step 5: Solve for x
    x = 343,019.45/646.55
  6. Step 6: Final answer
    x = 530.54

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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.