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Finding the Fourth Proportional to 627.51, 865.98 and 417.33

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Solution

The fourth proportional to 627.51, 865.98 and 417.33 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 865.98 = 417.33 : x
  2. Step 2: Convert to fraction form
    627.51/865.98 = 417.33/x
  3. Step 3: Cross multiply
    627.51x = 865.98 × 417.33
  4. Step 4: Simplify right side
    627.51x = 361,399.43
  5. Step 5: Solve for x
    x = 361,399.43/627.51
  6. Step 6: Final answer
    x = 575.93

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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.