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Finding the Fourth Proportional to 495.51, 746.16 and 366.42

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Solution

The fourth proportional to 495.51, 746.16 and 366.42 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 746.16 = 366.42 : x
  2. Step 2: Convert to fraction form
    495.51/746.16 = 366.42/x
  3. Step 3: Cross multiply
    495.51x = 746.16 × 366.42
  4. Step 4: Simplify right side
    495.51x = 273,406.51
  5. Step 5: Solve for x
    x = 273,406.51/495.51
  6. Step 6: Final answer
    x = 551.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.