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Finding the Fourth Proportional to 612.02, 844.53 and 495.86

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Solution

The fourth proportional to 612.02, 844.53 and 495.86 is: 684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.02 : 844.53 = 495.86 : x
  2. Step 2: Convert to fraction form
    612.02/844.53 = 495.86/x
  3. Step 3: Cross multiply
    612.02x = 844.53 × 495.86
  4. Step 4: Simplify right side
    612.02x = 418,768.65
  5. Step 5: Solve for x
    x = 418,768.65/612.02
  6. Step 6: Final answer
    x = 684.24

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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.