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Finding the Fourth Proportional to 492.90, 741.15 and 413.70

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Solution

The fourth proportional to 492.90, 741.15 and 413.70 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 741.15 = 413.70 : x
  2. Step 2: Convert to fraction form
    492.90/741.15 = 413.70/x
  3. Step 3: Cross multiply
    492.90x = 741.15 × 413.70
  4. Step 4: Simplify right side
    492.90x = 306,613.76
  5. Step 5: Solve for x
    x = 306,613.76/492.90
  6. Step 6: Final answer
    x = 622.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.