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Finding the Fourth Proportional to 625.93, 864.03 and 413.21

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Solution

The fourth proportional to 625.93, 864.03 and 413.21 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.93 : 864.03 = 413.21 : x
  2. Step 2: Convert to fraction form
    625.93/864.03 = 413.21/x
  3. Step 3: Cross multiply
    625.93x = 864.03 × 413.21
  4. Step 4: Simplify right side
    625.93x = 357,025.84
  5. Step 5: Solve for x
    x = 357,025.84/625.93
  6. Step 6: Final answer
    x = 570.39

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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.