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Finding the Fourth Proportional to 646.59, 892.53 and 384.87

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Solution

The fourth proportional to 646.59, 892.53 and 384.87 is: 531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 892.53 = 384.87 : x
  2. Step 2: Convert to fraction form
    646.59/892.53 = 384.87/x
  3. Step 3: Cross multiply
    646.59x = 892.53 × 384.87
  4. Step 4: Simplify right side
    646.59x = 343,508.02
  5. Step 5: Solve for x
    x = 343,508.02/646.59
  6. Step 6: Final answer
    x = 531.26

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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.