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Finding the Fourth Proportional to 646.61, 892.47 and 410.88

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Solution

The fourth proportional to 646.61, 892.47 and 410.88 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 892.47 = 410.88 : x
  2. Step 2: Convert to fraction form
    646.61/892.47 = 410.88/x
  3. Step 3: Cross multiply
    646.61x = 892.47 × 410.88
  4. Step 4: Simplify right side
    646.61x = 366,698.07
  5. Step 5: Solve for x
    x = 366,698.07/646.61
  6. Step 6: Final answer
    x = 567.11

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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.