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Finding the Fourth Proportional to 495.94, 681.33 and 444.16

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Solution

The fourth proportional to 495.94, 681.33 and 444.16 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.94 : 681.33 = 444.16 : x
  2. Step 2: Convert to fraction form
    495.94/681.33 = 444.16/x
  3. Step 3: Cross multiply
    495.94x = 681.33 × 444.16
  4. Step 4: Simplify right side
    495.94x = 302,617.31
  5. Step 5: Solve for x
    x = 302,617.31/495.94
  6. Step 6: Final answer
    x = 610.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.