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Finding the Fourth Proportional to 536.79, 741.23 and 413.67

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Solution

The fourth proportional to 536.79, 741.23 and 413.67 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.79 : 741.23 = 413.67 : x
  2. Step 2: Convert to fraction form
    536.79/741.23 = 413.67/x
  3. Step 3: Cross multiply
    536.79x = 741.23 × 413.67
  4. Step 4: Simplify right side
    536.79x = 306,624.61
  5. Step 5: Solve for x
    x = 306,624.61/536.79
  6. Step 6: Final answer
    x = 571.22

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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.