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Finding the Fourth Proportional to 531.51, 733.76 and 413.22

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Solution

The fourth proportional to 531.51, 733.76 and 413.22 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.51 : 733.76 = 413.22 : x
  2. Step 2: Convert to fraction form
    531.51/733.76 = 413.22/x
  3. Step 3: Cross multiply
    531.51x = 733.76 × 413.22
  4. Step 4: Simplify right side
    531.51x = 303,202.24
  5. Step 5: Solve for x
    x = 303,202.24/531.51
  6. Step 6: Final answer
    x = 570.45

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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.