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Finding the Fourth Proportional to 495.99, 685.13 and 413.37

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Solution

The fourth proportional to 495.99, 685.13 and 413.37 is: 571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 685.13 = 413.37 : x
  2. Step 2: Convert to fraction form
    495.99/685.13 = 413.37/x
  3. Step 3: Cross multiply
    495.99x = 685.13 × 413.37
  4. Step 4: Simplify right side
    495.99x = 283,210.12
  5. Step 5: Solve for x
    x = 283,210.12/495.99
  6. Step 6: Final answer
    x = 571.00

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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.