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Finding the Fourth Proportional to 646.18, 891.25 and 409.92

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Solution

The fourth proportional to 646.18, 891.25 and 409.92 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 891.25 = 409.92 : x
  2. Step 2: Convert to fraction form
    646.18/891.25 = 409.92/x
  3. Step 3: Cross multiply
    646.18x = 891.25 × 409.92
  4. Step 4: Simplify right side
    646.18x = 365,339.34
  5. Step 5: Solve for x
    x = 365,339.34/646.18
  6. Step 6: Final answer
    x = 565.39

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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.