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Finding the Fourth Proportional to 467.80, 646.14 and 452.68

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Solution

The fourth proportional to 467.80, 646.14 and 452.68 is: 625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.80 : 646.14 = 452.68 : x
  2. Step 2: Convert to fraction form
    467.80/646.14 = 452.68/x
  3. Step 3: Cross multiply
    467.80x = 646.14 × 452.68
  4. Step 4: Simplify right side
    467.80x = 292,494.66
  5. Step 5: Solve for x
    x = 292,494.66/467.80
  6. Step 6: Final answer
    x = 625.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.