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Finding the Fourth Proportional to 671.51, 926.91 and 406.10

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Solution

The fourth proportional to 671.51, 926.91 and 406.10 is: 560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.51 : 926.91 = 406.10 : x
  2. Step 2: Convert to fraction form
    671.51/926.91 = 406.10/x
  3. Step 3: Cross multiply
    671.51x = 926.91 × 406.10
  4. Step 4: Simplify right side
    671.51x = 376,413.52
  5. Step 5: Solve for x
    x = 376,413.52/671.51
  6. Step 6: Final answer
    x = 560.55

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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.