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Finding the Fourth Proportional to 531.87, 732.26 and 413.70

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Solution

The fourth proportional to 531.87, 732.26 and 413.70 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.87 : 732.26 = 413.70 : x
  2. Step 2: Convert to fraction form
    531.87/732.26 = 413.70/x
  3. Step 3: Cross multiply
    531.87x = 732.26 × 413.70
  4. Step 4: Simplify right side
    531.87x = 302,934.25
  5. Step 5: Solve for x
    x = 302,934.25/531.87
  6. Step 6: Final answer
    x = 569.57

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