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Finding the Fourth Proportional to 495.77, 743.65 and 313.52

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Solution

The fourth proportional to 495.77, 743.65 and 313.52 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 743.65 = 313.52 : x
  2. Step 2: Convert to fraction form
    495.77/743.65 = 313.52/x
  3. Step 3: Cross multiply
    495.77x = 743.65 × 313.52
  4. Step 4: Simplify right side
    495.77x = 233,144.65
  5. Step 5: Solve for x
    x = 233,144.65/495.77
  6. Step 6: Final answer
    x = 470.27

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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.