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Finding the Fourth Proportional to 458.12, 632.54 and 413.78

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Solution

The fourth proportional to 458.12, 632.54 and 413.78 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 632.54 = 413.78 : x
  2. Step 2: Convert to fraction form
    458.12/632.54 = 413.78/x
  3. Step 3: Cross multiply
    458.12x = 632.54 × 413.78
  4. Step 4: Simplify right side
    458.12x = 261,732.40
  5. Step 5: Solve for x
    x = 261,732.40/458.12
  6. Step 6: Final answer
    x = 571.32

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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.