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Finding the Fourth Proportional to 646.29, 891.74 and 409.81

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Solution

The fourth proportional to 646.29, 891.74 and 409.81 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 891.74 = 409.81 : x
  2. Step 2: Convert to fraction form
    646.29/891.74 = 409.81/x
  3. Step 3: Cross multiply
    646.29x = 891.74 × 409.81
  4. Step 4: Simplify right side
    646.29x = 365,443.97
  5. Step 5: Solve for x
    x = 365,443.97/646.29
  6. Step 6: Final answer
    x = 565.45

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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.