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Finding the Fourth Proportional to 495.63, 743.81 and 465.38

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Solution

The fourth proportional to 495.63, 743.81 and 465.38 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.63 : 743.81 = 465.38 : x
  2. Step 2: Convert to fraction form
    495.63/743.81 = 465.38/x
  3. Step 3: Cross multiply
    495.63x = 743.81 × 465.38
  4. Step 4: Simplify right side
    495.63x = 346,152.35
  5. Step 5: Solve for x
    x = 346,152.35/495.63
  6. Step 6: Final answer
    x = 698.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.