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Finding the Fourth Proportional to 468.80, 646.62 and 410.48

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Solution

The fourth proportional to 468.80, 646.62 and 410.48 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 646.62 = 410.48 : x
  2. Step 2: Convert to fraction form
    468.80/646.62 = 410.48/x
  3. Step 3: Cross multiply
    468.80x = 646.62 × 410.48
  4. Step 4: Simplify right side
    468.80x = 265,424.58
  5. Step 5: Solve for x
    x = 265,424.58/468.80
  6. Step 6: Final answer
    x = 566.18

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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.