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Finding the Fourth Proportional to 495.86, 744.70 and 313.31

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Solution

The fourth proportional to 495.86, 744.70 and 313.31 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 744.70 = 313.31 : x
  2. Step 2: Convert to fraction form
    495.86/744.70 = 313.31/x
  3. Step 3: Cross multiply
    495.86x = 744.70 × 313.31
  4. Step 4: Simplify right side
    495.86x = 233,318.63
  5. Step 5: Solve for x
    x = 233,318.63/495.86
  6. Step 6: Final answer
    x = 470.53

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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.