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Finding the Fourth Proportional to 646.66, 892.54 and 384.82

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Solution

The fourth proportional to 646.66, 892.54 and 384.82 is: 531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.66 : 892.54 = 384.82 : x
  2. Step 2: Convert to fraction form
    646.66/892.54 = 384.82/x
  3. Step 3: Cross multiply
    646.66x = 892.54 × 384.82
  4. Step 4: Simplify right side
    646.66x = 343,467.24
  5. Step 5: Solve for x
    x = 343,467.24/646.66
  6. Step 6: Final answer
    x = 531.14

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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.