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Finding the Fourth Proportional to 460.29, 635.31 and 413.58

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Solution

The fourth proportional to 460.29, 635.31 and 413.58 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 635.31 = 413.58 : x
  2. Step 2: Convert to fraction form
    460.29/635.31 = 413.58/x
  3. Step 3: Cross multiply
    460.29x = 635.31 × 413.58
  4. Step 4: Simplify right side
    460.29x = 262,753.89
  5. Step 5: Solve for x
    x = 262,753.89/460.29
  6. Step 6: Final answer
    x = 570.84

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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.