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Finding the Fourth Proportional to 495.46, 743.10 and 312.31

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Solution

The fourth proportional to 495.46, 743.10 and 312.31 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 743.10 = 312.31 : x
  2. Step 2: Convert to fraction form
    495.46/743.10 = 312.31/x
  3. Step 3: Cross multiply
    495.46x = 743.10 × 312.31
  4. Step 4: Simplify right side
    495.46x = 232,077.56
  5. Step 5: Solve for x
    x = 232,077.56/495.46
  6. Step 6: Final answer
    x = 468.41

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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.